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Finding the Fourth Proportional to 3,471.47, 5,206.98 and 1,006.23

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Solution

The fourth proportional to 3,471.47, 5,206.98 and 1,006.23 is: 1,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.47 : 5,206.98 = 1,006.23 : x
  2. Step 2: Convert to fraction form
    3,471.47/5,206.98 = 1,006.23/x
  3. Step 3: Cross multiply
    3,471.47x = 5,206.98 × 1,006.23
  4. Step 4: Simplify right side
    3,471.47x = 5,239,419.49
  5. Step 5: Solve for x
    x = 5,239,419.49/3,471.47
  6. Step 6: Final answer
    x = 1,509.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.