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Finding the Fourth Proportional to 5,841.24, 8,765.10 and 5,400.60

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Solution

The fourth proportional to 5,841.24, 8,765.10 and 5,400.60 is: 8,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.24 : 8,765.10 = 5,400.60 : x
  2. Step 2: Convert to fraction form
    5,841.24/8,765.10 = 5,400.60/x
  3. Step 3: Cross multiply
    5,841.24x = 8,765.10 × 5,400.60
  4. Step 4: Simplify right side
    5,841.24x = 47,336,799.06
  5. Step 5: Solve for x
    x = 47,336,799.06/5,841.24
  6. Step 6: Final answer
    x = 8,103.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.