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Finding the Fourth Proportional to 3,277.32, 4,915.41 and 968.28

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Solution

The fourth proportional to 3,277.32, 4,915.41 and 968.28 is: 1,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.32 : 4,915.41 = 968.28 : x
  2. Step 2: Convert to fraction form
    3,277.32/4,915.41 = 968.28/x
  3. Step 3: Cross multiply
    3,277.32x = 4,915.41 × 968.28
  4. Step 4: Simplify right side
    3,277.32x = 4,759,493.19
  5. Step 5: Solve for x
    x = 4,759,493.19/3,277.32
  6. Step 6: Final answer
    x = 1,452.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.