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Finding the Fourth Proportional to 5,123.92, 7,685.78 and 1,661.18

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Solution

The fourth proportional to 5,123.92, 7,685.78 and 1,661.18 is: 2,491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.92 : 7,685.78 = 1,661.18 : x
  2. Step 2: Convert to fraction form
    5,123.92/7,685.78 = 1,661.18/x
  3. Step 3: Cross multiply
    5,123.92x = 7,685.78 × 1,661.18
  4. Step 4: Simplify right side
    5,123.92x = 12,767,464.02
  5. Step 5: Solve for x
    x = 12,767,464.02/5,123.92
  6. Step 6: Final answer
    x = 2,491.74

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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.