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Finding the Fourth Proportional to 5,546.86, 7,654.34 and 3,156.50

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Solution

The fourth proportional to 5,546.86, 7,654.34 and 3,156.50 is: 4,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.86 : 7,654.34 = 3,156.50 : x
  2. Step 2: Convert to fraction form
    5,546.86/7,654.34 = 3,156.50/x
  3. Step 3: Cross multiply
    5,546.86x = 7,654.34 × 3,156.50
  4. Step 4: Simplify right side
    5,546.86x = 24,160,924.21
  5. Step 5: Solve for x
    x = 24,160,924.21/5,546.86
  6. Step 6: Final answer
    x = 4,355.78

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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.