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Finding the Fourth Proportional to 5,006.52, 6,903.36 and 4,705.20

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Solution

The fourth proportional to 5,006.52, 6,903.36 and 4,705.20 is: 6,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.52 : 6,903.36 = 4,705.20 : x
  2. Step 2: Convert to fraction form
    5,006.52/6,903.36 = 4,705.20/x
  3. Step 3: Cross multiply
    5,006.52x = 6,903.36 × 4,705.20
  4. Step 4: Simplify right side
    5,006.52x = 32,481,689.47
  5. Step 5: Solve for x
    x = 32,481,689.47/5,006.52
  6. Step 6: Final answer
    x = 6,487.88

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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.