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Finding the Fourth Proportional to 4,187, 5,776.42 and 2,694.68

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Solution

The fourth proportional to 4,187, 5,776.42 and 2,694.68 is: 3,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187 : 5,776.42 = 2,694.68 : x
  2. Step 2: Convert to fraction form
    4,187/5,776.42 = 2,694.68/x
  3. Step 3: Cross multiply
    4,187x = 5,776.42 × 2,694.68
  4. Step 4: Simplify right side
    4,187x = 15,565,603.45
  5. Step 5: Solve for x
    x = 15,565,603.45/4,187
  6. Step 6: Final answer
    x = 3,717.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.