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Finding the Fourth Proportional to 5,878.50, 8,105.13 and 4,615.62

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Solution

The fourth proportional to 5,878.50, 8,105.13 and 4,615.62 is: 6,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.50 : 8,105.13 = 4,615.62 : x
  2. Step 2: Convert to fraction form
    5,878.50/8,105.13 = 4,615.62/x
  3. Step 3: Cross multiply
    5,878.50x = 8,105.13 × 4,615.62
  4. Step 4: Simplify right side
    5,878.50x = 37,410,200.13
  5. Step 5: Solve for x
    x = 37,410,200.13/5,878.50
  6. Step 6: Final answer
    x = 6,363.90

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