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Finding the Fourth Proportional to 5,878.34, 8,822.42 and 5,508.88

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Solution

The fourth proportional to 5,878.34, 8,822.42 and 5,508.88 is: 8,267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.34 : 8,822.42 = 5,508.88 : x
  2. Step 2: Convert to fraction form
    5,878.34/8,822.42 = 5,508.88/x
  3. Step 3: Cross multiply
    5,878.34x = 8,822.42 × 5,508.88
  4. Step 4: Simplify right side
    5,878.34x = 48,601,624.15
  5. Step 5: Solve for x
    x = 48,601,624.15/5,878.34
  6. Step 6: Final answer
    x = 8,267.92

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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.