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Finding the Fourth Proportional to 5,823.60, 8,731.02 and 2,742

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Solution

The fourth proportional to 5,823.60, 8,731.02 and 2,742 is: 4,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.60 : 8,731.02 = 2,742 : x
  2. Step 2: Convert to fraction form
    5,823.60/8,731.02 = 2,742/x
  3. Step 3: Cross multiply
    5,823.60x = 8,731.02 × 2,742
  4. Step 4: Simplify right side
    5,823.60x = 23,940,456.84
  5. Step 5: Solve for x
    x = 23,940,456.84/5,823.60
  6. Step 6: Final answer
    x = 4,110.94

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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.