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Finding the Fourth Proportional to 3,294.36, 4,961.07 and 2,866.68

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Solution

The fourth proportional to 3,294.36, 4,961.07 and 2,866.68 is: 4,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.36 : 4,961.07 = 2,866.68 : x
  2. Step 2: Convert to fraction form
    3,294.36/4,961.07 = 2,866.68/x
  3. Step 3: Cross multiply
    3,294.36x = 4,961.07 × 2,866.68
  4. Step 4: Simplify right side
    3,294.36x = 14,221,800.15
  5. Step 5: Solve for x
    x = 14,221,800.15/3,294.36
  6. Step 6: Final answer
    x = 4,317.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.