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Finding the Fourth Proportional to 3,462.88, 5,195 and 1,123.47

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Solution

The fourth proportional to 3,462.88, 5,195 and 1,123.47 is: 1,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.88 : 5,195 = 1,123.47 : x
  2. Step 2: Convert to fraction form
    3,462.88/5,195 = 1,123.47/x
  3. Step 3: Cross multiply
    3,462.88x = 5,195 × 1,123.47
  4. Step 4: Simplify right side
    3,462.88x = 5,836,426.65
  5. Step 5: Solve for x
    x = 5,836,426.65/3,462.88
  6. Step 6: Final answer
    x = 1,685.43

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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.