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Finding the Fourth Proportional to 3,532.52, 4,869.84 and 2,537.48

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Solution

The fourth proportional to 3,532.52, 4,869.84 and 2,537.48 is: 3,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.52 : 4,869.84 = 2,537.48 : x
  2. Step 2: Convert to fraction form
    3,532.52/4,869.84 = 2,537.48/x
  3. Step 3: Cross multiply
    3,532.52x = 4,869.84 × 2,537.48
  4. Step 4: Simplify right side
    3,532.52x = 12,357,121.60
  5. Step 5: Solve for x
    x = 12,357,121.60/3,532.52
  6. Step 6: Final answer
    x = 3,498.10

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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.