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Finding the Fourth Proportional to 5,234.55, 7,854.57 and 2,314.86

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Solution

The fourth proportional to 5,234.55, 7,854.57 and 2,314.86 is: 3,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.55 : 7,854.57 = 2,314.86 : x
  2. Step 2: Convert to fraction form
    5,234.55/7,854.57 = 2,314.86/x
  3. Step 3: Cross multiply
    5,234.55x = 7,854.57 × 2,314.86
  4. Step 4: Simplify right side
    5,234.55x = 18,182,229.91
  5. Step 5: Solve for x
    x = 18,182,229.91/5,234.55
  6. Step 6: Final answer
    x = 3,473.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.