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Finding the Fourth Proportional to 3,979.80, 5,489.58 and 2,565.34

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Solution

The fourth proportional to 3,979.80, 5,489.58 and 2,565.34 is: 3,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.80 : 5,489.58 = 2,565.34 : x
  2. Step 2: Convert to fraction form
    3,979.80/5,489.58 = 2,565.34/x
  3. Step 3: Cross multiply
    3,979.80x = 5,489.58 × 2,565.34
  4. Step 4: Simplify right side
    3,979.80x = 14,082,639.16
  5. Step 5: Solve for x
    x = 14,082,639.16/3,979.80
  6. Step 6: Final answer
    x = 3,538.53

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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.