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Finding the Fourth Proportional to 4,314.85, 6,472.98 and 1,540.78

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Solution

The fourth proportional to 4,314.85, 6,472.98 and 1,540.78 is: 2,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.85 : 6,472.98 = 1,540.78 : x
  2. Step 2: Convert to fraction form
    4,314.85/6,472.98 = 1,540.78/x
  3. Step 3: Cross multiply
    4,314.85x = 6,472.98 × 1,540.78
  4. Step 4: Simplify right side
    4,314.85x = 9,973,421.94
  5. Step 5: Solve for x
    x = 9,973,421.94/4,314.85
  6. Step 6: Final answer
    x = 2,311.42

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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.