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Finding the Fourth Proportional to 6,352.34, 8,766.49 and 3,557.86

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Solution

The fourth proportional to 6,352.34, 8,766.49 and 3,557.86 is: 4,909.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.34 : 8,766.49 = 3,557.86 : x
  2. Step 2: Convert to fraction form
    6,352.34/8,766.49 = 3,557.86/x
  3. Step 3: Cross multiply
    6,352.34x = 8,766.49 × 3,557.86
  4. Step 4: Simplify right side
    6,352.34x = 31,189,882.49
  5. Step 5: Solve for x
    x = 31,189,882.49/6,352.34
  6. Step 6: Final answer
    x = 4,909.99

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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.