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Finding the Fourth Proportional to 3,758.39, 5,184.92 and 2,265.42

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Solution

The fourth proportional to 3,758.39, 5,184.92 and 2,265.42 is: 3,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.39 : 5,184.92 = 2,265.42 : x
  2. Step 2: Convert to fraction form
    3,758.39/5,184.92 = 2,265.42/x
  3. Step 3: Cross multiply
    3,758.39x = 5,184.92 × 2,265.42
  4. Step 4: Simplify right side
    3,758.39x = 11,746,021.47
  5. Step 5: Solve for x
    x = 11,746,021.47/3,758.39
  6. Step 6: Final answer
    x = 3,125.28

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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.