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Finding the Fourth Proportional to 4,961.88, 7,442.82 and 1,499.40

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Solution

The fourth proportional to 4,961.88, 7,442.82 and 1,499.40 is: 2,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.88 : 7,442.82 = 1,499.40 : x
  2. Step 2: Convert to fraction form
    4,961.88/7,442.82 = 1,499.40/x
  3. Step 3: Cross multiply
    4,961.88x = 7,442.82 × 1,499.40
  4. Step 4: Simplify right side
    4,961.88x = 11,159,764.31
  5. Step 5: Solve for x
    x = 11,159,764.31/4,961.88
  6. Step 6: Final answer
    x = 2,249.10

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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.