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Finding the Fourth Proportional to 3,187.41, 4,774.23 and 2,836.83

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Solution

The fourth proportional to 3,187.41, 4,774.23 and 2,836.83 is: 4,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.41 : 4,774.23 = 2,836.83 : x
  2. Step 2: Convert to fraction form
    3,187.41/4,774.23 = 2,836.83/x
  3. Step 3: Cross multiply
    3,187.41x = 4,774.23 × 2,836.83
  4. Step 4: Simplify right side
    3,187.41x = 13,543,678.89
  5. Step 5: Solve for x
    x = 13,543,678.89/3,187.41
  6. Step 6: Final answer
    x = 4,249.12

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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.