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Finding the Fourth Proportional to 3,141.71, 4,713.23 and 1,061.61

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Solution

The fourth proportional to 3,141.71, 4,713.23 and 1,061.61 is: 1,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.71 : 4,713.23 = 1,061.61 : x
  2. Step 2: Convert to fraction form
    3,141.71/4,713.23 = 1,061.61/x
  3. Step 3: Cross multiply
    3,141.71x = 4,713.23 × 1,061.61
  4. Step 4: Simplify right side
    3,141.71x = 5,003,596.33
  5. Step 5: Solve for x
    x = 5,003,596.33/3,141.71
  6. Step 6: Final answer
    x = 1,592.64

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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.