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Finding the Fourth Proportional to 3,869.20, 5,332.20 and 2,870.80

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Solution

The fourth proportional to 3,869.20, 5,332.20 and 2,870.80 is: 3,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.20 : 5,332.20 = 2,870.80 : x
  2. Step 2: Convert to fraction form
    3,869.20/5,332.20 = 2,870.80/x
  3. Step 3: Cross multiply
    3,869.20x = 5,332.20 × 2,870.80
  4. Step 4: Simplify right side
    3,869.20x = 15,307,679.76
  5. Step 5: Solve for x
    x = 15,307,679.76/3,869.20
  6. Step 6: Final answer
    x = 3,956.29

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