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Finding the Fourth Proportional to 4,210.52, 5,805.96 and 2,867

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Solution

The fourth proportional to 4,210.52, 5,805.96 and 2,867 is: 3,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.52 : 5,805.96 = 2,867 : x
  2. Step 2: Convert to fraction form
    4,210.52/5,805.96 = 2,867/x
  3. Step 3: Cross multiply
    4,210.52x = 5,805.96 × 2,867
  4. Step 4: Simplify right side
    4,210.52x = 16,645,687.32
  5. Step 5: Solve for x
    x = 16,645,687.32/4,210.52
  6. Step 6: Final answer
    x = 3,953.36

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