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Finding the Fourth Proportional to 3,853.17, 5,779.71 and 1,546.29

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Solution

The fourth proportional to 3,853.17, 5,779.71 and 1,546.29 is: 2,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.17 : 5,779.71 = 1,546.29 : x
  2. Step 2: Convert to fraction form
    3,853.17/5,779.71 = 1,546.29/x
  3. Step 3: Cross multiply
    3,853.17x = 5,779.71 × 1,546.29
  4. Step 4: Simplify right side
    3,853.17x = 8,937,107.78
  5. Step 5: Solve for x
    x = 8,937,107.78/3,853.17
  6. Step 6: Final answer
    x = 2,319.42

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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.