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Finding the Fourth Proportional to 5,649,883.76, 7,796,928.30 and 3,071,574.38

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Solution

The fourth proportional to 5,649,883.76, 7,796,928.30 and 3,071,574.38 is: 4,238,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649,883.76 : 7,796,928.30 = 3,071,574.38 : x
  2. Step 2: Convert to fraction form
    5,649,883.76/7,796,928.30 = 3,071,574.38/x
  3. Step 3: Cross multiply
    5,649,883.76x = 7,796,928.30 × 3,071,574.38
  4. Step 4: Simplify right side
    5,649,883.76x = 23,948,845,208,976.95
  5. Step 5: Solve for x
    x = 23,948,845,208,976.95/5,649,883.76
  6. Step 6: Final answer
    x = 4,238,820.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.