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Finding the Fourth Proportional to 4,652.80, 6,979.20 and 3,267.70

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Solution

The fourth proportional to 4,652.80, 6,979.20 and 3,267.70 is: 4,901.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.80 : 6,979.20 = 3,267.70 : x
  2. Step 2: Convert to fraction form
    4,652.80/6,979.20 = 3,267.70/x
  3. Step 3: Cross multiply
    4,652.80x = 6,979.20 × 3,267.70
  4. Step 4: Simplify right side
    4,652.80x = 22,805,931.84
  5. Step 5: Solve for x
    x = 22,805,931.84/4,652.80
  6. Step 6: Final answer
    x = 4,901.55

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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.