Home / 3,471.22-5,206.91-1,006.10

Finding the Fourth Proportional to 3,471.22, 5,206.91 and 1,006.10

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Solution

The fourth proportional to 3,471.22, 5,206.91 and 1,006.10 is: 1,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.22 : 5,206.91 = 1,006.10 : x
  2. Step 2: Convert to fraction form
    3,471.22/5,206.91 = 1,006.10/x
  3. Step 3: Cross multiply
    3,471.22x = 5,206.91 × 1,006.10
  4. Step 4: Simplify right side
    3,471.22x = 5,238,672.15
  5. Step 5: Solve for x
    x = 5,238,672.15/3,471.22
  6. Step 6: Final answer
    x = 1,509.17

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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.