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Finding the Fourth Proportional to 5,707.52, 7,876.36 and 3,189.64

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Solution

The fourth proportional to 5,707.52, 7,876.36 and 3,189.64 is: 4,401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.52 : 7,876.36 = 3,189.64 : x
  2. Step 2: Convert to fraction form
    5,707.52/7,876.36 = 3,189.64/x
  3. Step 3: Cross multiply
    5,707.52x = 7,876.36 × 3,189.64
  4. Step 4: Simplify right side
    5,707.52x = 25,122,713.53
  5. Step 5: Solve for x
    x = 25,122,713.53/5,707.52
  6. Step 6: Final answer
    x = 4,401.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.