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Finding the Fourth Proportional to 4,966.75, 7,452.69 and 3,302.03

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Solution

The fourth proportional to 4,966.75, 7,452.69 and 3,302.03 is: 4,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.75 : 7,452.69 = 3,302.03 : x
  2. Step 2: Convert to fraction form
    4,966.75/7,452.69 = 3,302.03/x
  3. Step 3: Cross multiply
    4,966.75x = 7,452.69 × 3,302.03
  4. Step 4: Simplify right side
    4,966.75x = 24,608,952.19
  5. Step 5: Solve for x
    x = 24,608,952.19/4,966.75
  6. Step 6: Final answer
    x = 4,954.74

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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.