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Finding the Fourth Proportional to 3,567.82, 5,352 and 970.78

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Solution

The fourth proportional to 3,567.82, 5,352 and 970.78 is: 1,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.82 : 5,352 = 970.78 : x
  2. Step 2: Convert to fraction form
    3,567.82/5,352 = 970.78/x
  3. Step 3: Cross multiply
    3,567.82x = 5,352 × 970.78
  4. Step 4: Simplify right side
    3,567.82x = 5,195,614.56
  5. Step 5: Solve for x
    x = 5,195,614.56/3,567.82
  6. Step 6: Final answer
    x = 1,456.24

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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.