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Finding the Fourth Proportional to 5,123.60, 7,682.86 and 1,660.40

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Solution

The fourth proportional to 5,123.60, 7,682.86 and 1,660.40 is: 2,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.60 : 7,682.86 = 1,660.40 : x
  2. Step 2: Convert to fraction form
    5,123.60/7,682.86 = 1,660.40/x
  3. Step 3: Cross multiply
    5,123.60x = 7,682.86 × 1,660.40
  4. Step 4: Simplify right side
    5,123.60x = 12,756,620.74
  5. Step 5: Solve for x
    x = 12,756,620.74/5,123.60
  6. Step 6: Final answer
    x = 2,489.78

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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.