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Finding the Fourth Proportional to 3,544.64, 4,892.17 and 2,053.48

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Solution

The fourth proportional to 3,544.64, 4,892.17 and 2,053.48 is: 2,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.64 : 4,892.17 = 2,053.48 : x
  2. Step 2: Convert to fraction form
    3,544.64/4,892.17 = 2,053.48/x
  3. Step 3: Cross multiply
    3,544.64x = 4,892.17 × 2,053.48
  4. Step 4: Simplify right side
    3,544.64x = 10,045,948.79
  5. Step 5: Solve for x
    x = 10,045,948.79/3,544.64
  6. Step 6: Final answer
    x = 2,834.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.