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Finding the Fourth Proportional to 5,247.42, 7,871.10 and 1,549.68

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Solution

The fourth proportional to 5,247.42, 7,871.10 and 1,549.68 is: 2,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.42 : 7,871.10 = 1,549.68 : x
  2. Step 2: Convert to fraction form
    5,247.42/7,871.10 = 1,549.68/x
  3. Step 3: Cross multiply
    5,247.42x = 7,871.10 × 1,549.68
  4. Step 4: Simplify right side
    5,247.42x = 12,197,686.25
  5. Step 5: Solve for x
    x = 12,197,686.25/5,247.42
  6. Step 6: Final answer
    x = 2,324.51

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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.