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Finding the Fourth Proportional to 5,330.64, 7,997.02 and 1,867.44

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Solution

The fourth proportional to 5,330.64, 7,997.02 and 1,867.44 is: 2,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.64 : 7,997.02 = 1,867.44 : x
  2. Step 2: Convert to fraction form
    5,330.64/7,997.02 = 1,867.44/x
  3. Step 3: Cross multiply
    5,330.64x = 7,997.02 × 1,867.44
  4. Step 4: Simplify right side
    5,330.64x = 14,933,955.03
  5. Step 5: Solve for x
    x = 14,933,955.03/5,330.64
  6. Step 6: Final answer
    x = 2,801.53

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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.