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Finding the Fourth Proportional to 5,230.78, 7,844.06 and 2,307

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Solution

The fourth proportional to 5,230.78, 7,844.06 and 2,307 is: 3,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.78 : 7,844.06 = 2,307 : x
  2. Step 2: Convert to fraction form
    5,230.78/7,844.06 = 2,307/x
  3. Step 3: Cross multiply
    5,230.78x = 7,844.06 × 2,307
  4. Step 4: Simplify right side
    5,230.78x = 18,096,246.42
  5. Step 5: Solve for x
    x = 18,096,246.42/5,230.78
  6. Step 6: Final answer
    x = 3,459.57

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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.