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Finding the Fourth Proportional to 5,716.85, 8,581.41 and 5,062.78

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Solution

The fourth proportional to 5,716.85, 8,581.41 and 5,062.78 is: 7,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.85 : 8,581.41 = 5,062.78 : x
  2. Step 2: Convert to fraction form
    5,716.85/8,581.41 = 5,062.78/x
  3. Step 3: Cross multiply
    5,716.85x = 8,581.41 × 5,062.78
  4. Step 4: Simplify right side
    5,716.85x = 43,445,748.01
  5. Step 5: Solve for x
    x = 43,445,748.01/5,716.85
  6. Step 6: Final answer
    x = 7,599.60

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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.