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Finding the Fourth Proportional to 4,657.68, 6,986.53 and 2,708.52

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Solution

The fourth proportional to 4,657.68, 6,986.53 and 2,708.52 is: 4,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.68 : 6,986.53 = 2,708.52 : x
  2. Step 2: Convert to fraction form
    4,657.68/6,986.53 = 2,708.52/x
  3. Step 3: Cross multiply
    4,657.68x = 6,986.53 × 2,708.52
  4. Step 4: Simplify right side
    4,657.68x = 18,923,144.39
  5. Step 5: Solve for x
    x = 18,923,144.39/4,657.68
  6. Step 6: Final answer
    x = 4,062.78

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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.