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Finding the Fourth Proportional to 3,472.68, 5,208.24 and 1,006.95

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Solution

The fourth proportional to 3,472.68, 5,208.24 and 1,006.95 is: 1,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.68 : 5,208.24 = 1,006.95 : x
  2. Step 2: Convert to fraction form
    3,472.68/5,208.24 = 1,006.95/x
  3. Step 3: Cross multiply
    3,472.68x = 5,208.24 × 1,006.95
  4. Step 4: Simplify right side
    3,472.68x = 5,244,437.27
  5. Step 5: Solve for x
    x = 5,244,437.27/3,472.68
  6. Step 6: Final answer
    x = 1,510.20

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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.