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Finding the Fourth Proportional to 4,207.88, 5,801.22 and 2,947.24

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Solution

The fourth proportional to 4,207.88, 5,801.22 and 2,947.24 is: 4,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.88 : 5,801.22 = 2,947.24 : x
  2. Step 2: Convert to fraction form
    4,207.88/5,801.22 = 2,947.24/x
  3. Step 3: Cross multiply
    4,207.88x = 5,801.22 × 2,947.24
  4. Step 4: Simplify right side
    4,207.88x = 17,097,587.63
  5. Step 5: Solve for x
    x = 17,097,587.63/4,207.88
  6. Step 6: Final answer
    x = 4,063.23

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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.