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Finding the Fourth Proportional to 5,251.84, 7,873.51 and 1,964.46

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Solution

The fourth proportional to 5,251.84, 7,873.51 and 1,964.46 is: 2,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.84 : 7,873.51 = 1,964.46 : x
  2. Step 2: Convert to fraction form
    5,251.84/7,873.51 = 1,964.46/x
  3. Step 3: Cross multiply
    5,251.84x = 7,873.51 × 1,964.46
  4. Step 4: Simplify right side
    5,251.84x = 15,467,195.45
  5. Step 5: Solve for x
    x = 15,467,195.45/5,251.84
  6. Step 6: Final answer
    x = 2,945.10

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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.