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Finding the Fourth Proportional to 5,436.86, 7,502.42 and 3,078.95

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Solution

The fourth proportional to 5,436.86, 7,502.42 and 3,078.95 is: 4,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.86 : 7,502.42 = 3,078.95 : x
  2. Step 2: Convert to fraction form
    5,436.86/7,502.42 = 3,078.95/x
  3. Step 3: Cross multiply
    5,436.86x = 7,502.42 × 3,078.95
  4. Step 4: Simplify right side
    5,436.86x = 23,099,546.24
  5. Step 5: Solve for x
    x = 23,099,546.24/5,436.86
  6. Step 6: Final answer
    x = 4,248.70

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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.