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Finding the Fourth Proportional to 3,168.42, 4,752.63 and 859.92

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Solution

The fourth proportional to 3,168.42, 4,752.63 and 859.92 is: 1,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.42 : 4,752.63 = 859.92 : x
  2. Step 2: Convert to fraction form
    3,168.42/4,752.63 = 859.92/x
  3. Step 3: Cross multiply
    3,168.42x = 4,752.63 × 859.92
  4. Step 4: Simplify right side
    3,168.42x = 4,086,881.59
  5. Step 5: Solve for x
    x = 4,086,881.59/3,168.42
  6. Step 6: Final answer
    x = 1,289.88

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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.