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Finding the Fourth Proportional to 5,551.50, 7,657.83 and 3,456.30

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Solution

The fourth proportional to 5,551.50, 7,657.83 and 3,456.30 is: 4,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,551.50 : 7,657.83 = 3,456.30 : x
  2. Step 2: Convert to fraction form
    5,551.50/7,657.83 = 3,456.30/x
  3. Step 3: Cross multiply
    5,551.50x = 7,657.83 × 3,456.30
  4. Step 4: Simplify right side
    5,551.50x = 26,467,757.83
  5. Step 5: Solve for x
    x = 26,467,757.83/5,551.50
  6. Step 6: Final answer
    x = 4,767.68

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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.