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Finding the Fourth Proportional to 3,277.02, 4,915.53 and 967.98

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Solution

The fourth proportional to 3,277.02, 4,915.53 and 967.98 is: 1,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.02 : 4,915.53 = 967.98 : x
  2. Step 2: Convert to fraction form
    3,277.02/4,915.53 = 967.98/x
  3. Step 3: Cross multiply
    3,277.02x = 4,915.53 × 967.98
  4. Step 4: Simplify right side
    3,277.02x = 4,758,134.73
  5. Step 5: Solve for x
    x = 4,758,134.73/3,277.02
  6. Step 6: Final answer
    x = 1,451.97

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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.