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Finding the Fourth Proportional to 5,707.50, 7,876.52 and 3,189.72

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Solution

The fourth proportional to 5,707.50, 7,876.52 and 3,189.72 is: 4,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.50 : 7,876.52 = 3,189.72 : x
  2. Step 2: Convert to fraction form
    5,707.50/7,876.52 = 3,189.72/x
  3. Step 3: Cross multiply
    5,707.50x = 7,876.52 × 3,189.72
  4. Step 4: Simplify right side
    5,707.50x = 25,123,893.37
  5. Step 5: Solve for x
    x = 25,123,893.37/5,707.50
  6. Step 6: Final answer
    x = 4,401.91

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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.