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Finding the Fourth Proportional to 3,873.68, 5,807.16 and 1,924.88

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Solution

The fourth proportional to 3,873.68, 5,807.16 and 1,924.88 is: 2,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.68 : 5,807.16 = 1,924.88 : x
  2. Step 2: Convert to fraction form
    3,873.68/5,807.16 = 1,924.88/x
  3. Step 3: Cross multiply
    3,873.68x = 5,807.16 × 1,924.88
  4. Step 4: Simplify right side
    3,873.68x = 11,178,086.14
  5. Step 5: Solve for x
    x = 11,178,086.14/3,873.68
  6. Step 6: Final answer
    x = 2,885.65

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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.