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Finding the Fourth Proportional to 3,407.16, 4,704.08 and 2,230.24

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Solution

The fourth proportional to 3,407.16, 4,704.08 and 2,230.24 is: 3,079.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.16 : 4,704.08 = 2,230.24 : x
  2. Step 2: Convert to fraction form
    3,407.16/4,704.08 = 2,230.24/x
  3. Step 3: Cross multiply
    3,407.16x = 4,704.08 × 2,230.24
  4. Step 4: Simplify right side
    3,407.16x = 10,491,227.38
  5. Step 5: Solve for x
    x = 10,491,227.38/3,407.16
  6. Step 6: Final answer
    x = 3,079.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.