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Finding the Fourth Proportional to 5,774.19, 7,968.87 and 3,256.17

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Solution

The fourth proportional to 5,774.19, 7,968.87 and 3,256.17 is: 4,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.19 : 7,968.87 = 3,256.17 : x
  2. Step 2: Convert to fraction form
    5,774.19/7,968.87 = 3,256.17/x
  3. Step 3: Cross multiply
    5,774.19x = 7,968.87 × 3,256.17
  4. Step 4: Simplify right side
    5,774.19x = 25,947,979.15
  5. Step 5: Solve for x
    x = 25,947,979.15/5,774.19
  6. Step 6: Final answer
    x = 4,493.79

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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.