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Finding the Fourth Proportional to 5,172.76, 7,140.05 and 3,991.78

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Solution

The fourth proportional to 5,172.76, 7,140.05 and 3,991.78 is: 5,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.76 : 7,140.05 = 3,991.78 : x
  2. Step 2: Convert to fraction form
    5,172.76/7,140.05 = 3,991.78/x
  3. Step 3: Cross multiply
    5,172.76x = 7,140.05 × 3,991.78
  4. Step 4: Simplify right side
    5,172.76x = 28,501,508.79
  5. Step 5: Solve for x
    x = 28,501,508.79/5,172.76
  6. Step 6: Final answer
    x = 5,509.92

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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.