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Finding the Fourth Proportional to 4,187.97, 5,772.97 and 3,302.24

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Solution

The fourth proportional to 4,187.97, 5,772.97 and 3,302.24 is: 4,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.97 : 5,772.97 = 3,302.24 : x
  2. Step 2: Convert to fraction form
    4,187.97/5,772.97 = 3,302.24/x
  3. Step 3: Cross multiply
    4,187.97x = 5,772.97 × 3,302.24
  4. Step 4: Simplify right side
    4,187.97x = 19,063,707.72
  5. Step 5: Solve for x
    x = 19,063,707.72/4,187.97
  6. Step 6: Final answer
    x = 4,552.02

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1.5x scale

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.