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Finding the Fourth Proportional to 4,311.70, 6,458.43 and 2,461.86

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Solution

The fourth proportional to 4,311.70, 6,458.43 and 2,461.86 is: 3,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.70 : 6,458.43 = 2,461.86 : x
  2. Step 2: Convert to fraction form
    4,311.70/6,458.43 = 2,461.86/x
  3. Step 3: Cross multiply
    4,311.70x = 6,458.43 × 2,461.86
  4. Step 4: Simplify right side
    4,311.70x = 15,899,759.71
  5. Step 5: Solve for x
    x = 15,899,759.71/4,311.70
  6. Step 6: Final answer
    x = 3,687.59

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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.