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Finding the Fourth Proportional to 5,471.81, 8,207.03 and 1,523.36

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Solution

The fourth proportional to 5,471.81, 8,207.03 and 1,523.36 is: 2,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.81 : 8,207.03 = 1,523.36 : x
  2. Step 2: Convert to fraction form
    5,471.81/8,207.03 = 1,523.36/x
  3. Step 3: Cross multiply
    5,471.81x = 8,207.03 × 1,523.36
  4. Step 4: Simplify right side
    5,471.81x = 12,502,285.55
  5. Step 5: Solve for x
    x = 12,502,285.55/5,471.81
  6. Step 6: Final answer
    x = 2,284.85

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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.