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Finding the Fourth Proportional to 4,658.43, 6,987.74 and 3,729.68

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Solution

The fourth proportional to 4,658.43, 6,987.74 and 3,729.68 is: 5,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.43 : 6,987.74 = 3,729.68 : x
  2. Step 2: Convert to fraction form
    4,658.43/6,987.74 = 3,729.68/x
  3. Step 3: Cross multiply
    4,658.43x = 6,987.74 × 3,729.68
  4. Step 4: Simplify right side
    4,658.43x = 26,062,034.12
  5. Step 5: Solve for x
    x = 26,062,034.12/4,658.43
  6. Step 6: Final answer
    x = 5,594.60

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1.5x scale

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.