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Finding the Fourth Proportional to 5,123.16, 7,684.74 and 1,660.68

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Solution

The fourth proportional to 5,123.16, 7,684.74 and 1,660.68 is: 2,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.16 : 7,684.74 = 1,660.68 : x
  2. Step 2: Convert to fraction form
    5,123.16/7,684.74 = 1,660.68/x
  3. Step 3: Cross multiply
    5,123.16x = 7,684.74 × 1,660.68
  4. Step 4: Simplify right side
    5,123.16x = 12,761,894.02
  5. Step 5: Solve for x
    x = 12,761,894.02/5,123.16
  6. Step 6: Final answer
    x = 2,491.02

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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.