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Finding the Fourth Proportional to 5,881.36, 8,115.42 and 3,523

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Solution

The fourth proportional to 5,881.36, 8,115.42 and 3,523 is: 4,861.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.36 : 8,115.42 = 3,523 : x
  2. Step 2: Convert to fraction form
    5,881.36/8,115.42 = 3,523/x
  3. Step 3: Cross multiply
    5,881.36x = 8,115.42 × 3,523
  4. Step 4: Simplify right side
    5,881.36x = 28,590,624.66
  5. Step 5: Solve for x
    x = 28,590,624.66/5,881.36
  6. Step 6: Final answer
    x = 4,861.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.