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Finding the Fourth Proportional to 5,343.64, 8,014.02 and 2,419

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Solution

The fourth proportional to 5,343.64, 8,014.02 and 2,419 is: 3,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.64 : 8,014.02 = 2,419 : x
  2. Step 2: Convert to fraction form
    5,343.64/8,014.02 = 2,419/x
  3. Step 3: Cross multiply
    5,343.64x = 8,014.02 × 2,419
  4. Step 4: Simplify right side
    5,343.64x = 19,385,914.38
  5. Step 5: Solve for x
    x = 19,385,914.38/5,343.64
  6. Step 6: Final answer
    x = 3,627.85

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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.