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Finding the Fourth Proportional to 5,774.22, 7,967.92 and 3,256.95

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Solution

The fourth proportional to 5,774.22, 7,967.92 and 3,256.95 is: 4,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.22 : 7,967.92 = 3,256.95 : x
  2. Step 2: Convert to fraction form
    5,774.22/7,967.92 = 3,256.95/x
  3. Step 3: Cross multiply
    5,774.22x = 7,967.92 × 3,256.95
  4. Step 4: Simplify right side
    5,774.22x = 25,951,117.04
  5. Step 5: Solve for x
    x = 25,951,117.04/5,774.22
  6. Step 6: Final answer
    x = 4,494.31

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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.