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Finding the Fourth Proportional to 3,871.09, 5,342.13 and 2,277.80

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Solution

The fourth proportional to 3,871.09, 5,342.13 and 2,277.80 is: 3,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.09 : 5,342.13 = 2,277.80 : x
  2. Step 2: Convert to fraction form
    3,871.09/5,342.13 = 2,277.80/x
  3. Step 3: Cross multiply
    3,871.09x = 5,342.13 × 2,277.80
  4. Step 4: Simplify right side
    3,871.09x = 12,168,275.61
  5. Step 5: Solve for x
    x = 12,168,275.61/3,871.09
  6. Step 6: Final answer
    x = 3,143.37

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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.