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Finding the Fourth Proportional to 3,866.82, 5,333.83 and 3,417.24

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Solution

The fourth proportional to 3,866.82, 5,333.83 and 3,417.24 is: 4,713.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.82 : 5,333.83 = 3,417.24 : x
  2. Step 2: Convert to fraction form
    3,866.82/5,333.83 = 3,417.24/x
  3. Step 3: Cross multiply
    3,866.82x = 5,333.83 × 3,417.24
  4. Step 4: Simplify right side
    3,866.82x = 18,226,977.23
  5. Step 5: Solve for x
    x = 18,226,977.23/3,866.82
  6. Step 6: Final answer
    x = 4,713.69

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