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Finding the Fourth Proportional to 3,471.61, 5,207.26 and 1,006.37

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Solution

The fourth proportional to 3,471.61, 5,207.26 and 1,006.37 is: 1,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.61 : 5,207.26 = 1,006.37 : x
  2. Step 2: Convert to fraction form
    3,471.61/5,207.26 = 1,006.37/x
  3. Step 3: Cross multiply
    3,471.61x = 5,207.26 × 1,006.37
  4. Step 4: Simplify right side
    3,471.61x = 5,240,430.25
  5. Step 5: Solve for x
    x = 5,240,430.25/3,471.61
  6. Step 6: Final answer
    x = 1,509.51

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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.