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Finding the Fourth Proportional to 3,807.54, 5,713.37 and 2,882.88

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Solution

The fourth proportional to 3,807.54, 5,713.37 and 2,882.88 is: 4,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.54 : 5,713.37 = 2,882.88 : x
  2. Step 2: Convert to fraction form
    3,807.54/5,713.37 = 2,882.88/x
  3. Step 3: Cross multiply
    3,807.54x = 5,713.37 × 2,882.88
  4. Step 4: Simplify right side
    3,807.54x = 16,470,956.50
  5. Step 5: Solve for x
    x = 16,470,956.50/3,807.54
  6. Step 6: Final answer
    x = 4,325.88

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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.