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Finding the Fourth Proportional to 3,732.01, 5,595.84 and 1,538.11

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Solution

The fourth proportional to 3,732.01, 5,595.84 and 1,538.11 is: 2,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.01 : 5,595.84 = 1,538.11 : x
  2. Step 2: Convert to fraction form
    3,732.01/5,595.84 = 1,538.11/x
  3. Step 3: Cross multiply
    3,732.01x = 5,595.84 × 1,538.11
  4. Step 4: Simplify right side
    3,732.01x = 8,607,017.46
  5. Step 5: Solve for x
    x = 8,607,017.46/3,732.01
  6. Step 6: Final answer
    x = 2,306.27

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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.