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Finding the Fourth Proportional to 3,151.71, 4,727.84 and 1,072.31

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Solution

The fourth proportional to 3,151.71, 4,727.84 and 1,072.31 is: 1,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.71 : 4,727.84 = 1,072.31 : x
  2. Step 2: Convert to fraction form
    3,151.71/4,727.84 = 1,072.31/x
  3. Step 3: Cross multiply
    3,151.71x = 4,727.84 × 1,072.31
  4. Step 4: Simplify right side
    3,151.71x = 5,069,681.11
  5. Step 5: Solve for x
    x = 5,069,681.11/3,151.71
  6. Step 6: Final answer
    x = 1,608.55

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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.