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Finding the Fourth Proportional to 3,471.92, 5,208.65 and 1,006.84

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Solution

The fourth proportional to 3,471.92, 5,208.65 and 1,006.84 is: 1,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.92 : 5,208.65 = 1,006.84 : x
  2. Step 2: Convert to fraction form
    3,471.92/5,208.65 = 1,006.84/x
  3. Step 3: Cross multiply
    3,471.92x = 5,208.65 × 1,006.84
  4. Step 4: Simplify right side
    3,471.92x = 5,244,277.17
  5. Step 5: Solve for x
    x = 5,244,277.17/3,471.92
  6. Step 6: Final answer
    x = 1,510.48

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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.