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Finding the Fourth Proportional to 5,138.77, 7,091.49 and 2,780.95

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Solution

The fourth proportional to 5,138.77, 7,091.49 and 2,780.95 is: 3,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.77 : 7,091.49 = 2,780.95 : x
  2. Step 2: Convert to fraction form
    5,138.77/7,091.49 = 2,780.95/x
  3. Step 3: Cross multiply
    5,138.77x = 7,091.49 × 2,780.95
  4. Step 4: Simplify right side
    5,138.77x = 19,721,079.12
  5. Step 5: Solve for x
    x = 19,721,079.12/5,138.77
  6. Step 6: Final answer
    x = 3,837.70

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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.