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Finding the Fourth Proportional to 4,652.91, 6,968.42 and 2,182.41

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Solution

The fourth proportional to 4,652.91, 6,968.42 and 2,182.41 is: 3,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.91 : 6,968.42 = 2,182.41 : x
  2. Step 2: Convert to fraction form
    4,652.91/6,968.42 = 2,182.41/x
  3. Step 3: Cross multiply
    4,652.91x = 6,968.42 × 2,182.41
  4. Step 4: Simplify right side
    4,652.91x = 15,207,949.49
  5. Step 5: Solve for x
    x = 15,207,949.49/4,652.91
  6. Step 6: Final answer
    x = 3,268.48

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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.