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Finding the Fourth Proportional to 3,031.08, 4,546.36 and 839.64

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Solution

The fourth proportional to 3,031.08, 4,546.36 and 839.64 is: 1,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.08 : 4,546.36 = 839.64 : x
  2. Step 2: Convert to fraction form
    3,031.08/4,546.36 = 839.64/x
  3. Step 3: Cross multiply
    3,031.08x = 4,546.36 × 839.64
  4. Step 4: Simplify right side
    3,031.08x = 3,817,305.71
  5. Step 5: Solve for x
    x = 3,817,305.71/3,031.08
  6. Step 6: Final answer
    x = 1,259.39

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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.