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Finding the Fourth Proportional to 3,167.28, 4,750.38 and 975.42

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Solution

The fourth proportional to 3,167.28, 4,750.38 and 975.42 is: 1,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.28 : 4,750.38 = 975.42 : x
  2. Step 2: Convert to fraction form
    3,167.28/4,750.38 = 975.42/x
  3. Step 3: Cross multiply
    3,167.28x = 4,750.38 × 975.42
  4. Step 4: Simplify right side
    3,167.28x = 4,633,615.66
  5. Step 5: Solve for x
    x = 4,633,615.66/3,167.28
  6. Step 6: Final answer
    x = 1,462.96

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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.