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Finding the Fourth Proportional to 3,957.20, 5,459.22 and 2,384.40

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Solution

The fourth proportional to 3,957.20, 5,459.22 and 2,384.40 is: 3,289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.20 : 5,459.22 = 2,384.40 : x
  2. Step 2: Convert to fraction form
    3,957.20/5,459.22 = 2,384.40/x
  3. Step 3: Cross multiply
    3,957.20x = 5,459.22 × 2,384.40
  4. Step 4: Simplify right side
    3,957.20x = 13,016,964.17
  5. Step 5: Solve for x
    x = 13,016,964.17/3,957.20
  6. Step 6: Final answer
    x = 3,289.44

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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.