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Finding the Fourth Proportional to 3,839.26, 5,758.61 and 1,498.82

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Solution

The fourth proportional to 3,839.26, 5,758.61 and 1,498.82 is: 2,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.26 : 5,758.61 = 1,498.82 : x
  2. Step 2: Convert to fraction form
    3,839.26/5,758.61 = 1,498.82/x
  3. Step 3: Cross multiply
    3,839.26x = 5,758.61 × 1,498.82
  4. Step 4: Simplify right side
    3,839.26x = 8,631,130.49
  5. Step 5: Solve for x
    x = 8,631,130.49/3,839.26
  6. Step 6: Final answer
    x = 2,248.13

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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.