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Finding the Fourth Proportional to 3,728.66, 5,587.52 and 2,265.19

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Solution

The fourth proportional to 3,728.66, 5,587.52 and 2,265.19 is: 3,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.66 : 5,587.52 = 2,265.19 : x
  2. Step 2: Convert to fraction form
    3,728.66/5,587.52 = 2,265.19/x
  3. Step 3: Cross multiply
    3,728.66x = 5,587.52 × 2,265.19
  4. Step 4: Simplify right side
    3,728.66x = 12,656,769.13
  5. Step 5: Solve for x
    x = 12,656,769.13/3,728.66
  6. Step 6: Final answer
    x = 3,394.46

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