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Finding the Fourth Proportional to 4,397.87, 6,596.76 and 1,764.65

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Solution

The fourth proportional to 4,397.87, 6,596.76 and 1,764.65 is: 2,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.87 : 6,596.76 = 1,764.65 : x
  2. Step 2: Convert to fraction form
    4,397.87/6,596.76 = 1,764.65/x
  3. Step 3: Cross multiply
    4,397.87x = 6,596.76 × 1,764.65
  4. Step 4: Simplify right side
    4,397.87x = 11,640,972.53
  5. Step 5: Solve for x
    x = 11,640,972.53/4,397.87
  6. Step 6: Final answer
    x = 2,646.96

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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.