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Finding the Fourth Proportional to 3,641.14, 5,462.52 and 1,043.88

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Solution

The fourth proportional to 3,641.14, 5,462.52 and 1,043.88 is: 1,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.14 : 5,462.52 = 1,043.88 : x
  2. Step 2: Convert to fraction form
    3,641.14/5,462.52 = 1,043.88/x
  3. Step 3: Cross multiply
    3,641.14x = 5,462.52 × 1,043.88
  4. Step 4: Simplify right side
    3,641.14x = 5,702,215.38
  5. Step 5: Solve for x
    x = 5,702,215.38/3,641.14
  6. Step 6: Final answer
    x = 1,566.05

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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.