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Finding the Fourth Proportional to 3,909.76, 5,398.46 and 2,585.28

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Solution

The fourth proportional to 3,909.76, 5,398.46 and 2,585.28 is: 3,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.76 : 5,398.46 = 2,585.28 : x
  2. Step 2: Convert to fraction form
    3,909.76/5,398.46 = 2,585.28/x
  3. Step 3: Cross multiply
    3,909.76x = 5,398.46 × 2,585.28
  4. Step 4: Simplify right side
    3,909.76x = 13,956,530.67
  5. Step 5: Solve for x
    x = 13,956,530.67/3,909.76
  6. Step 6: Final answer
    x = 3,569.66

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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.