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Finding the Fourth Proportional to 5,860.80, 8,715.82 and 5,676.24

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Solution

The fourth proportional to 5,860.80, 8,715.82 and 5,676.24 is: 8,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860.80 : 8,715.82 = 5,676.24 : x
  2. Step 2: Convert to fraction form
    5,860.80/8,715.82 = 5,676.24/x
  3. Step 3: Cross multiply
    5,860.80x = 8,715.82 × 5,676.24
  4. Step 4: Simplify right side
    5,860.80x = 49,473,086.12
  5. Step 5: Solve for x
    x = 49,473,086.12/5,860.80
  6. Step 6: Final answer
    x = 8,441.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.