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Finding the Fourth Proportional to 3,031.02, 4,546.13 and 839.57

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Solution

The fourth proportional to 3,031.02, 4,546.13 and 839.57 is: 1,259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.02 : 4,546.13 = 839.57 : x
  2. Step 2: Convert to fraction form
    3,031.02/4,546.13 = 839.57/x
  3. Step 3: Cross multiply
    3,031.02x = 4,546.13 × 839.57
  4. Step 4: Simplify right side
    3,031.02x = 3,816,767.44
  5. Step 5: Solve for x
    x = 3,816,767.44/3,031.02
  6. Step 6: Final answer
    x = 1,259.24

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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.