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Finding the Fourth Proportional to 3,839.74, 5,758.08 and 1,499.38

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Solution

The fourth proportional to 3,839.74, 5,758.08 and 1,499.38 is: 2,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.74 : 5,758.08 = 1,499.38 : x
  2. Step 2: Convert to fraction form
    3,839.74/5,758.08 = 1,499.38/x
  3. Step 3: Cross multiply
    3,839.74x = 5,758.08 × 1,499.38
  4. Step 4: Simplify right side
    3,839.74x = 8,633,549.99
  5. Step 5: Solve for x
    x = 8,633,549.99/3,839.74
  6. Step 6: Final answer
    x = 2,248.47

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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.