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Finding the Fourth Proportional to 5,281.61, 7,922.84 and 1,386

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Solution

The fourth proportional to 5,281.61, 7,922.84 and 1,386 is: 2,079.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.61 : 7,922.84 = 1,386 : x
  2. Step 2: Convert to fraction form
    5,281.61/7,922.84 = 1,386/x
  3. Step 3: Cross multiply
    5,281.61x = 7,922.84 × 1,386
  4. Step 4: Simplify right side
    5,281.61x = 10,981,049.31
  5. Step 5: Solve for x
    x = 10,981,049.31/5,281.61
  6. Step 6: Final answer
    x = 2,079.11

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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.