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Finding the Fourth Proportional to 4,594.57, 6,891.72 and 1,997.50

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Solution

The fourth proportional to 4,594.57, 6,891.72 and 1,997.50 is: 2,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.57 : 6,891.72 = 1,997.50 : x
  2. Step 2: Convert to fraction form
    4,594.57/6,891.72 = 1,997.50/x
  3. Step 3: Cross multiply
    4,594.57x = 6,891.72 × 1,997.50
  4. Step 4: Simplify right side
    4,594.57x = 13,766,210.70
  5. Step 5: Solve for x
    x = 13,766,210.70/4,594.57
  6. Step 6: Final answer
    x = 2,996.19

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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.