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Finding the Fourth Proportional to 5,689.68, 8,523 and 2,765.76

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Solution

The fourth proportional to 5,689.68, 8,523 and 2,765.76 is: 4,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.68 : 8,523 = 2,765.76 : x
  2. Step 2: Convert to fraction form
    5,689.68/8,523 = 2,765.76/x
  3. Step 3: Cross multiply
    5,689.68x = 8,523 × 2,765.76
  4. Step 4: Simplify right side
    5,689.68x = 23,572,572.48
  5. Step 5: Solve for x
    x = 23,572,572.48/5,689.68
  6. Step 6: Final answer
    x = 4,143.04

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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.