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Finding the Fourth Proportional to 5,829.39, 8,740.88 and 3,982.59

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Solution

The fourth proportional to 5,829.39, 8,740.88 and 3,982.59 is: 5,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.39 : 8,740.88 = 3,982.59 : x
  2. Step 2: Convert to fraction form
    5,829.39/8,740.88 = 3,982.59/x
  3. Step 3: Cross multiply
    5,829.39x = 8,740.88 × 3,982.59
  4. Step 4: Simplify right side
    5,829.39x = 34,811,391.48
  5. Step 5: Solve for x
    x = 34,811,391.48/5,829.39
  6. Step 6: Final answer
    x = 5,971.70

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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.