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Finding the Fourth Proportional to 3,472.31, 5,208.97 and 1,006.81

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Solution

The fourth proportional to 3,472.31, 5,208.97 and 1,006.81 is: 1,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.31 : 5,208.97 = 1,006.81 : x
  2. Step 2: Convert to fraction form
    3,472.31/5,208.97 = 1,006.81/x
  3. Step 3: Cross multiply
    3,472.31x = 5,208.97 × 1,006.81
  4. Step 4: Simplify right side
    3,472.31x = 5,244,417.04
  5. Step 5: Solve for x
    x = 5,244,417.04/3,472.31
  6. Step 6: Final answer
    x = 1,510.36

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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.