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Finding the Fourth Proportional to 3,712.68, 5,564.20 and 2,780.90

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Solution

The fourth proportional to 3,712.68, 5,564.20 and 2,780.90 is: 4,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.68 : 5,564.20 = 2,780.90 : x
  2. Step 2: Convert to fraction form
    3,712.68/5,564.20 = 2,780.90/x
  3. Step 3: Cross multiply
    3,712.68x = 5,564.20 × 2,780.90
  4. Step 4: Simplify right side
    3,712.68x = 15,473,483.78
  5. Step 5: Solve for x
    x = 15,473,483.78/3,712.68
  6. Step 6: Final answer
    x = 4,167.74

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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.