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Finding the Fourth Proportional to 5,138.40, 7,091.01 and 2,780.55

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Solution

The fourth proportional to 5,138.40, 7,091.01 and 2,780.55 is: 3,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.40 : 7,091.01 = 2,780.55 : x
  2. Step 2: Convert to fraction form
    5,138.40/7,091.01 = 2,780.55/x
  3. Step 3: Cross multiply
    5,138.40x = 7,091.01 × 2,780.55
  4. Step 4: Simplify right side
    5,138.40x = 19,716,858.50
  5. Step 5: Solve for x
    x = 19,716,858.50/5,138.40
  6. Step 6: Final answer
    x = 3,837.16

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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.