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Finding the Fourth Proportional to 3,277.13, 4,915.76 and 968.63

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Solution

The fourth proportional to 3,277.13, 4,915.76 and 968.63 is: 1,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.13 : 4,915.76 = 968.63 : x
  2. Step 2: Convert to fraction form
    3,277.13/4,915.76 = 968.63/x
  3. Step 3: Cross multiply
    3,277.13x = 4,915.76 × 968.63
  4. Step 4: Simplify right side
    3,277.13x = 4,761,523.19
  5. Step 5: Solve for x
    x = 4,761,523.19/3,277.13
  6. Step 6: Final answer
    x = 1,452.96

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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.