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Finding the Fourth Proportional to 3,760.68, 5,641.02 and 3,532.32

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Solution

The fourth proportional to 3,760.68, 5,641.02 and 3,532.32 is: 5,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.68 : 5,641.02 = 3,532.32 : x
  2. Step 2: Convert to fraction form
    3,760.68/5,641.02 = 3,532.32/x
  3. Step 3: Cross multiply
    3,760.68x = 5,641.02 × 3,532.32
  4. Step 4: Simplify right side
    3,760.68x = 19,925,887.77
  5. Step 5: Solve for x
    x = 19,925,887.77/3,760.68
  6. Step 6: Final answer
    x = 5,298.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.