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Finding the Fourth Proportional to 5,497.52, 7,586.16 and 3,139.34

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Solution

The fourth proportional to 5,497.52, 7,586.16 and 3,139.34 is: 4,332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.52 : 7,586.16 = 3,139.34 : x
  2. Step 2: Convert to fraction form
    5,497.52/7,586.16 = 3,139.34/x
  3. Step 3: Cross multiply
    5,497.52x = 7,586.16 × 3,139.34
  4. Step 4: Simplify right side
    5,497.52x = 23,815,535.53
  5. Step 5: Solve for x
    x = 23,815,535.53/5,497.52
  6. Step 6: Final answer
    x = 4,332.05

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