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Finding the Fourth Proportional to 5,251.80, 7,875.72 and 1,964.16

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Solution

The fourth proportional to 5,251.80, 7,875.72 and 1,964.16 is: 2,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.80 : 7,875.72 = 1,964.16 : x
  2. Step 2: Convert to fraction form
    5,251.80/7,875.72 = 1,964.16/x
  3. Step 3: Cross multiply
    5,251.80x = 7,875.72 × 1,964.16
  4. Step 4: Simplify right side
    5,251.80x = 15,469,174.20
  5. Step 5: Solve for x
    x = 15,469,174.20/5,251.80
  6. Step 6: Final answer
    x = 2,945.50

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1.5x scale

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.