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Finding the Fourth Proportional to 3,957.64, 5,461.28 and 2,189.12

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Solution

The fourth proportional to 3,957.64, 5,461.28 and 2,189.12 is: 3,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.64 : 5,461.28 = 2,189.12 : x
  2. Step 2: Convert to fraction form
    3,957.64/5,461.28 = 2,189.12/x
  3. Step 3: Cross multiply
    3,957.64x = 5,461.28 × 2,189.12
  4. Step 4: Simplify right side
    3,957.64x = 11,955,397.27
  5. Step 5: Solve for x
    x = 11,955,397.27/3,957.64
  6. Step 6: Final answer
    x = 3,020.84

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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.