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Finding the Fourth Proportional to 5,150.52, 7,108.16 and 4,309.74

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Solution

The fourth proportional to 5,150.52, 7,108.16 and 4,309.74 is: 5,947.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.52 : 7,108.16 = 4,309.74 : x
  2. Step 2: Convert to fraction form
    5,150.52/7,108.16 = 4,309.74/x
  3. Step 3: Cross multiply
    5,150.52x = 7,108.16 × 4,309.74
  4. Step 4: Simplify right side
    5,150.52x = 30,634,299.93
  5. Step 5: Solve for x
    x = 30,634,299.93/5,150.52
  6. Step 6: Final answer
    x = 5,947.81

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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.