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Finding the Fourth Proportional to 5,231.68, 7,844.16 and 2,454.64

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Solution

The fourth proportional to 5,231.68, 7,844.16 and 2,454.64 is: 3,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.68 : 7,844.16 = 2,454.64 : x
  2. Step 2: Convert to fraction form
    5,231.68/7,844.16 = 2,454.64/x
  3. Step 3: Cross multiply
    5,231.68x = 7,844.16 × 2,454.64
  4. Step 4: Simplify right side
    5,231.68x = 19,254,588.90
  5. Step 5: Solve for x
    x = 19,254,588.90/5,231.68
  6. Step 6: Final answer
    x = 3,680.38

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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.