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Finding the Fourth Proportional to 3,175.47, 4,382.10 and 1,849.23

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Solution

The fourth proportional to 3,175.47, 4,382.10 and 1,849.23 is: 2,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.47 : 4,382.10 = 1,849.23 : x
  2. Step 2: Convert to fraction form
    3,175.47/4,382.10 = 1,849.23/x
  3. Step 3: Cross multiply
    3,175.47x = 4,382.10 × 1,849.23
  4. Step 4: Simplify right side
    3,175.47x = 8,103,510.78
  5. Step 5: Solve for x
    x = 8,103,510.78/3,175.47
  6. Step 6: Final answer
    x = 2,551.91

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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.