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Finding the Fourth Proportional to 5,573.70, 7,691.38 and 3,055.31

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Solution

The fourth proportional to 5,573.70, 7,691.38 and 3,055.31 is: 4,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573.70 : 7,691.38 = 3,055.31 : x
  2. Step 2: Convert to fraction form
    5,573.70/7,691.38 = 3,055.31/x
  3. Step 3: Cross multiply
    5,573.70x = 7,691.38 × 3,055.31
  4. Step 4: Simplify right side
    5,573.70x = 23,499,550.23
  5. Step 5: Solve for x
    x = 23,499,550.23/5,573.70
  6. Step 6: Final answer
    x = 4,216.15

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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.