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Finding the Fourth Proportional to 5,246.80, 7,871.49 and 1,549.01

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Solution

The fourth proportional to 5,246.80, 7,871.49 and 1,549.01 is: 2,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.80 : 7,871.49 = 1,549.01 : x
  2. Step 2: Convert to fraction form
    5,246.80/7,871.49 = 1,549.01/x
  3. Step 3: Cross multiply
    5,246.80x = 7,871.49 × 1,549.01
  4. Step 4: Simplify right side
    5,246.80x = 12,193,016.72
  5. Step 5: Solve for x
    x = 12,193,016.72/5,246.80
  6. Step 6: Final answer
    x = 2,323.90

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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.