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Finding the Fourth Proportional to 5,381.76, 8,073.04 and 1,486.13

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Solution

The fourth proportional to 5,381.76, 8,073.04 and 1,486.13 is: 2,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.76 : 8,073.04 = 1,486.13 : x
  2. Step 2: Convert to fraction form
    5,381.76/8,073.04 = 1,486.13/x
  3. Step 3: Cross multiply
    5,381.76x = 8,073.04 × 1,486.13
  4. Step 4: Simplify right side
    5,381.76x = 11,997,586.94
  5. Step 5: Solve for x
    x = 11,997,586.94/5,381.76
  6. Step 6: Final answer
    x = 2,229.31

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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.