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Finding the Fourth Proportional to 3,544.71, 4,891.47 and 2,032.11

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Solution

The fourth proportional to 3,544.71, 4,891.47 and 2,032.11 is: 2,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.71 : 4,891.47 = 2,032.11 : x
  2. Step 2: Convert to fraction form
    3,544.71/4,891.47 = 2,032.11/x
  3. Step 3: Cross multiply
    3,544.71x = 4,891.47 × 2,032.11
  4. Step 4: Simplify right side
    3,544.71x = 9,940,005.10
  5. Step 5: Solve for x
    x = 9,940,005.10/3,544.71
  6. Step 6: Final answer
    x = 2,804.18

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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.