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Finding the Fourth Proportional to 5,905.16, 8,148.42 and 3,546.92

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Solution

The fourth proportional to 5,905.16, 8,148.42 and 3,546.92 is: 4,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.16 : 8,148.42 = 3,546.92 : x
  2. Step 2: Convert to fraction form
    5,905.16/8,148.42 = 3,546.92/x
  3. Step 3: Cross multiply
    5,905.16x = 8,148.42 × 3,546.92
  4. Step 4: Simplify right side
    5,905.16x = 28,901,793.87
  5. Step 5: Solve for x
    x = 28,901,793.87/5,905.16
  6. Step 6: Final answer
    x = 4,894.33

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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.