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Finding the Fourth Proportional to 6,141.78, 8,478.18 and 4,155.03

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Solution

The fourth proportional to 6,141.78, 8,478.18 and 4,155.03 is: 5,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.78 : 8,478.18 = 4,155.03 : x
  2. Step 2: Convert to fraction form
    6,141.78/8,478.18 = 4,155.03/x
  3. Step 3: Cross multiply
    6,141.78x = 8,478.18 × 4,155.03
  4. Step 4: Simplify right side
    6,141.78x = 35,227,092.25
  5. Step 5: Solve for x
    x = 35,227,092.25/6,141.78
  6. Step 6: Final answer
    x = 5,735.65

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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.