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Finding the Fourth Proportional to 5,653.22, 7,801.27 and 3,414.29

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Solution

The fourth proportional to 5,653.22, 7,801.27 and 3,414.29 is: 4,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.22 : 7,801.27 = 3,414.29 : x
  2. Step 2: Convert to fraction form
    5,653.22/7,801.27 = 3,414.29/x
  3. Step 3: Cross multiply
    5,653.22x = 7,801.27 × 3,414.29
  4. Step 4: Simplify right side
    5,653.22x = 26,635,750.61
  5. Step 5: Solve for x
    x = 26,635,750.61/5,653.22
  6. Step 6: Final answer
    x = 4,711.61

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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.