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Finding the Fourth Proportional to 5,234.56, 7,854.56 and 2,314.88

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Solution

The fourth proportional to 5,234.56, 7,854.56 and 2,314.88 is: 3,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.56 : 7,854.56 = 2,314.88 : x
  2. Step 2: Convert to fraction form
    5,234.56/7,854.56 = 2,314.88/x
  3. Step 3: Cross multiply
    5,234.56x = 7,854.56 × 2,314.88
  4. Step 4: Simplify right side
    5,234.56x = 18,182,363.85
  5. Step 5: Solve for x
    x = 18,182,363.85/5,234.56
  6. Step 6: Final answer
    x = 3,473.52

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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.