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Finding the Fourth Proportional to 3,909.74, 5,854.28 and 2,741.18

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Solution

The fourth proportional to 3,909.74, 5,854.28 and 2,741.18 is: 4,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.74 : 5,854.28 = 2,741.18 : x
  2. Step 2: Convert to fraction form
    3,909.74/5,854.28 = 2,741.18/x
  3. Step 3: Cross multiply
    3,909.74x = 5,854.28 × 2,741.18
  4. Step 4: Simplify right side
    3,909.74x = 16,047,592.27
  5. Step 5: Solve for x
    x = 16,047,592.27/3,909.74
  6. Step 6: Final answer
    x = 4,104.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.