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Finding the Fourth Proportional to 5,966.60, 8,228.40 and 3,727.76

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Solution

The fourth proportional to 5,966.60, 8,228.40 and 3,727.76 is: 5,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.60 : 8,228.40 = 3,727.76 : x
  2. Step 2: Convert to fraction form
    5,966.60/8,228.40 = 3,727.76/x
  3. Step 3: Cross multiply
    5,966.60x = 8,228.40 × 3,727.76
  4. Step 4: Simplify right side
    5,966.60x = 30,673,500.38
  5. Step 5: Solve for x
    x = 30,673,500.38/5,966.60
  6. Step 6: Final answer
    x = 5,140.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.