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Finding the Fourth Proportional to 4,336.22, 6,502.98 and 1,414.10

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Solution

The fourth proportional to 4,336.22, 6,502.98 and 1,414.10 is: 2,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.22 : 6,502.98 = 1,414.10 : x
  2. Step 2: Convert to fraction form
    4,336.22/6,502.98 = 1,414.10/x
  3. Step 3: Cross multiply
    4,336.22x = 6,502.98 × 1,414.10
  4. Step 4: Simplify right side
    4,336.22x = 9,195,864.02
  5. Step 5: Solve for x
    x = 9,195,864.02/4,336.22
  6. Step 6: Final answer
    x = 2,120.71

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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.