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Finding the Fourth Proportional to 5,871.29, 8,808.46 and 1,711.20

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Solution

The fourth proportional to 5,871.29, 8,808.46 and 1,711.20 is: 2,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.29 : 8,808.46 = 1,711.20 : x
  2. Step 2: Convert to fraction form
    5,871.29/8,808.46 = 1,711.20/x
  3. Step 3: Cross multiply
    5,871.29x = 8,808.46 × 1,711.20
  4. Step 4: Simplify right side
    5,871.29x = 15,073,036.75
  5. Step 5: Solve for x
    x = 15,073,036.75/5,871.29
  6. Step 6: Final answer
    x = 2,567.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.