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Finding the Fourth Proportional to 3,641.10, 5,461.29 and 1,449.24

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Solution

The fourth proportional to 3,641.10, 5,461.29 and 1,449.24 is: 2,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.10 : 5,461.29 = 1,449.24 : x
  2. Step 2: Convert to fraction form
    3,641.10/5,461.29 = 1,449.24/x
  3. Step 3: Cross multiply
    3,641.10x = 5,461.29 × 1,449.24
  4. Step 4: Simplify right side
    3,641.10x = 7,914,719.92
  5. Step 5: Solve for x
    x = 7,914,719.92/3,641.10
  6. Step 6: Final answer
    x = 2,173.72

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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.