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Finding the Fourth Proportional to 5,654.57, 8,482.77 and 1,759.88

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Solution

The fourth proportional to 5,654.57, 8,482.77 and 1,759.88 is: 2,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.57 : 8,482.77 = 1,759.88 : x
  2. Step 2: Convert to fraction form
    5,654.57/8,482.77 = 1,759.88/x
  3. Step 3: Cross multiply
    5,654.57x = 8,482.77 × 1,759.88
  4. Step 4: Simplify right side
    5,654.57x = 14,928,657.27
  5. Step 5: Solve for x
    x = 14,928,657.27/5,654.57
  6. Step 6: Final answer
    x = 2,640.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.