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Finding the Fourth Proportional to 5,680.92, 8,522.20 and 1,785.64

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Solution

The fourth proportional to 5,680.92, 8,522.20 and 1,785.64 is: 2,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.92 : 8,522.20 = 1,785.64 : x
  2. Step 2: Convert to fraction form
    5,680.92/8,522.20 = 1,785.64/x
  3. Step 3: Cross multiply
    5,680.92x = 8,522.20 × 1,785.64
  4. Step 4: Simplify right side
    5,680.92x = 15,217,581.21
  5. Step 5: Solve for x
    x = 15,217,581.21/5,680.92
  6. Step 6: Final answer
    x = 2,678.72

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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.