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Finding the Fourth Proportional to 4,143.58, 6,215.15 and 1,546.31

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Solution

The fourth proportional to 4,143.58, 6,215.15 and 1,546.31 is: 2,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.58 : 6,215.15 = 1,546.31 : x
  2. Step 2: Convert to fraction form
    4,143.58/6,215.15 = 1,546.31/x
  3. Step 3: Cross multiply
    4,143.58x = 6,215.15 × 1,546.31
  4. Step 4: Simplify right side
    4,143.58x = 9,610,568.00
  5. Step 5: Solve for x
    x = 9,610,568.00/4,143.58
  6. Step 6: Final answer
    x = 2,319.39

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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.