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Finding the Fourth Proportional to 5,542.85, 8,314.28 and 3,697.57

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Solution

The fourth proportional to 5,542.85, 8,314.28 and 3,697.57 is: 5,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.85 : 8,314.28 = 3,697.57 : x
  2. Step 2: Convert to fraction form
    5,542.85/8,314.28 = 3,697.57/x
  3. Step 3: Cross multiply
    5,542.85x = 8,314.28 × 3,697.57
  4. Step 4: Simplify right side
    5,542.85x = 30,742,572.24
  5. Step 5: Solve for x
    x = 30,742,572.24/5,542.85
  6. Step 6: Final answer
    x = 5,546.35

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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.