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Finding the Fourth Proportional to 3,471.68, 5,208.38 and 1,006.68

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Solution

The fourth proportional to 3,471.68, 5,208.38 and 1,006.68 is: 1,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.68 : 5,208.38 = 1,006.68 : x
  2. Step 2: Convert to fraction form
    3,471.68/5,208.38 = 1,006.68/x
  3. Step 3: Cross multiply
    3,471.68x = 5,208.38 × 1,006.68
  4. Step 4: Simplify right side
    3,471.68x = 5,243,171.98
  5. Step 5: Solve for x
    x = 5,243,171.98/3,471.68
  6. Step 6: Final answer
    x = 1,510.27

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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.