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Finding the Fourth Proportional to 3,471.59, 5,207.29 and 1,006.36

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Solution

The fourth proportional to 3,471.59, 5,207.29 and 1,006.36 is: 1,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.59 : 5,207.29 = 1,006.36 : x
  2. Step 2: Convert to fraction form
    3,471.59/5,207.29 = 1,006.36/x
  3. Step 3: Cross multiply
    3,471.59x = 5,207.29 × 1,006.36
  4. Step 4: Simplify right side
    3,471.59x = 5,240,392.83
  5. Step 5: Solve for x
    x = 5,240,392.83/3,471.59
  6. Step 6: Final answer
    x = 1,509.51

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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.