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Finding the Fourth Proportional to 5,174.03, 7,758.11 and 3,532.57

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Solution

The fourth proportional to 5,174.03, 7,758.11 and 3,532.57 is: 5,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.03 : 7,758.11 = 3,532.57 : x
  2. Step 2: Convert to fraction form
    5,174.03/7,758.11 = 3,532.57/x
  3. Step 3: Cross multiply
    5,174.03x = 7,758.11 × 3,532.57
  4. Step 4: Simplify right side
    5,174.03x = 27,406,056.08
  5. Step 5: Solve for x
    x = 27,406,056.08/5,174.03
  6. Step 6: Final answer
    x = 5,296.85

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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.