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Finding the Fourth Proportional to 5,137.92, 7,089.36 and 3,148.80

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Solution

The fourth proportional to 5,137.92, 7,089.36 and 3,148.80 is: 4,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.92 : 7,089.36 = 3,148.80 : x
  2. Step 2: Convert to fraction form
    5,137.92/7,089.36 = 3,148.80/x
  3. Step 3: Cross multiply
    5,137.92x = 7,089.36 × 3,148.80
  4. Step 4: Simplify right side
    5,137.92x = 22,322,976.77
  5. Step 5: Solve for x
    x = 22,322,976.77/5,137.92
  6. Step 6: Final answer
    x = 4,344.75

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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.