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Finding the Fourth Proportional to 5,781.98, 8,676.76 and 2,319.50

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Solution

The fourth proportional to 5,781.98, 8,676.76 and 2,319.50 is: 3,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.98 : 8,676.76 = 2,319.50 : x
  2. Step 2: Convert to fraction form
    5,781.98/8,676.76 = 2,319.50/x
  3. Step 3: Cross multiply
    5,781.98x = 8,676.76 × 2,319.50
  4. Step 4: Simplify right side
    5,781.98x = 20,125,744.82
  5. Step 5: Solve for x
    x = 20,125,744.82/5,781.98
  6. Step 6: Final answer
    x = 3,480.77

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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.