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Finding the Fourth Proportional to 3,839.95, 5,758.03 and 1,242.55

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Solution

The fourth proportional to 3,839.95, 5,758.03 and 1,242.55 is: 1,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.95 : 5,758.03 = 1,242.55 : x
  2. Step 2: Convert to fraction form
    3,839.95/5,758.03 = 1,242.55/x
  3. Step 3: Cross multiply
    3,839.95x = 5,758.03 × 1,242.55
  4. Step 4: Simplify right side
    3,839.95x = 7,154,640.18
  5. Step 5: Solve for x
    x = 7,154,640.18/3,839.95
  6. Step 6: Final answer
    x = 1,863.21

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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.