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Finding the Fourth Proportional to 3,514.52, 4,850.52 and 2,117

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Solution

The fourth proportional to 3,514.52, 4,850.52 and 2,117 is: 2,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.52 : 4,850.52 = 2,117 : x
  2. Step 2: Convert to fraction form
    3,514.52/4,850.52 = 2,117/x
  3. Step 3: Cross multiply
    3,514.52x = 4,850.52 × 2,117
  4. Step 4: Simplify right side
    3,514.52x = 10,268,550.84
  5. Step 5: Solve for x
    x = 10,268,550.84/3,514.52
  6. Step 6: Final answer
    x = 2,921.75

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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.