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Finding the Fourth Proportional to 5,841.50, 8,771.14 and 5,652.19

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Solution

The fourth proportional to 5,841.50, 8,771.14 and 5,652.19 is: 8,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.50 : 8,771.14 = 5,652.19 : x
  2. Step 2: Convert to fraction form
    5,841.50/8,771.14 = 5,652.19/x
  3. Step 3: Cross multiply
    5,841.50x = 8,771.14 × 5,652.19
  4. Step 4: Simplify right side
    5,841.50x = 49,576,149.80
  5. Step 5: Solve for x
    x = 49,576,149.80/5,841.50
  6. Step 6: Final answer
    x = 8,486.89

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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.