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Finding the Fourth Proportional to 5,729.88, 8,581.82 and 4,693.08

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Solution

The fourth proportional to 5,729.88, 8,581.82 and 4,693.08 is: 7,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.88 : 8,581.82 = 4,693.08 : x
  2. Step 2: Convert to fraction form
    5,729.88/8,581.82 = 4,693.08/x
  3. Step 3: Cross multiply
    5,729.88x = 8,581.82 × 4,693.08
  4. Step 4: Simplify right side
    5,729.88x = 40,275,167.81
  5. Step 5: Solve for x
    x = 40,275,167.81/5,729.88
  6. Step 6: Final answer
    x = 7,028.97

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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.