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Finding the Fourth Proportional to 5,774.51, 7,968.51 and 3,256.22

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Solution

The fourth proportional to 5,774.51, 7,968.51 and 3,256.22 is: 4,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.51 : 7,968.51 = 3,256.22 : x
  2. Step 2: Convert to fraction form
    5,774.51/7,968.51 = 3,256.22/x
  3. Step 3: Cross multiply
    5,774.51x = 7,968.51 × 3,256.22
  4. Step 4: Simplify right side
    5,774.51x = 25,947,241.55
  5. Step 5: Solve for x
    x = 25,947,241.55/5,774.51
  6. Step 6: Final answer
    x = 4,493.41

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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.