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Finding the Fourth Proportional to 4,207.66, 5,806.52 and 2,439.43

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Solution

The fourth proportional to 4,207.66, 5,806.52 and 2,439.43 is: 3,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.66 : 5,806.52 = 2,439.43 : x
  2. Step 2: Convert to fraction form
    4,207.66/5,806.52 = 2,439.43/x
  3. Step 3: Cross multiply
    4,207.66x = 5,806.52 × 2,439.43
  4. Step 4: Simplify right side
    4,207.66x = 14,164,581.52
  5. Step 5: Solve for x
    x = 14,164,581.52/4,207.66
  6. Step 6: Final answer
    x = 3,366.38

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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.