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Finding the Fourth Proportional to 5,791,970.25, 7,964,575.43 and 5,026,695.21

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Solution

The fourth proportional to 5,791,970.25, 7,964,575.43 and 5,026,695.21 is: 6,912,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791,970.25 : 7,964,575.43 = 5,026,695.21 : x
  2. Step 2: Convert to fraction form
    5,791,970.25/7,964,575.43 = 5,026,695.21/x
  3. Step 3: Cross multiply
    5,791,970.25x = 7,964,575.43 × 5,026,695.21
  4. Step 4: Simplify right side
    5,791,970.25x = 40,035,493,138,531.21
  5. Step 5: Solve for x
    x = 40,035,493,138,531.21/5,791,970.25
  6. Step 6: Final answer
    x = 6,912,240.81

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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.