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Finding the Fourth Proportional to 6,557.96, 9,049.20 and 3,725.68

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Solution

The fourth proportional to 6,557.96, 9,049.20 and 3,725.68 is: 5,140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.96 : 9,049.20 = 3,725.68 : x
  2. Step 2: Convert to fraction form
    6,557.96/9,049.20 = 3,725.68/x
  3. Step 3: Cross multiply
    6,557.96x = 9,049.20 × 3,725.68
  4. Step 4: Simplify right side
    6,557.96x = 33,714,423.46
  5. Step 5: Solve for x
    x = 33,714,423.46/6,557.96
  6. Step 6: Final answer
    x = 5,140.99

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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.