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Finding the Fourth Proportional to 5,138.40, 7,708.80 and 1,675.68

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Solution

The fourth proportional to 5,138.40, 7,708.80 and 1,675.68 is: 2,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.40 : 7,708.80 = 1,675.68 : x
  2. Step 2: Convert to fraction form
    5,138.40/7,708.80 = 1,675.68/x
  3. Step 3: Cross multiply
    5,138.40x = 7,708.80 × 1,675.68
  4. Step 4: Simplify right side
    5,138.40x = 12,917,481.98
  5. Step 5: Solve for x
    x = 12,917,481.98/5,138.40
  6. Step 6: Final answer
    x = 2,513.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.