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Finding the Fourth Proportional to 3,471.50, 5,207.70 and 1,006.40

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Solution

The fourth proportional to 3,471.50, 5,207.70 and 1,006.40 is: 1,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.50 : 5,207.70 = 1,006.40 : x
  2. Step 2: Convert to fraction form
    3,471.50/5,207.70 = 1,006.40/x
  3. Step 3: Cross multiply
    3,471.50x = 5,207.70 × 1,006.40
  4. Step 4: Simplify right side
    3,471.50x = 5,241,029.28
  5. Step 5: Solve for x
    x = 5,241,029.28/3,471.50
  6. Step 6: Final answer
    x = 1,509.73

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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.