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Finding the Fourth Proportional to 5,256.47, 7,890.17 and 3,871.37

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Solution

The fourth proportional to 5,256.47, 7,890.17 and 3,871.37 is: 5,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.47 : 7,890.17 = 3,871.37 : x
  2. Step 2: Convert to fraction form
    5,256.47/7,890.17 = 3,871.37/x
  3. Step 3: Cross multiply
    5,256.47x = 7,890.17 × 3,871.37
  4. Step 4: Simplify right side
    5,256.47x = 30,545,708.63
  5. Step 5: Solve for x
    x = 30,545,708.63/5,256.47
  6. Step 6: Final answer
    x = 5,811.07

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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.