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Finding the Fourth Proportional to 3,866.44, 5,333.31 and 3,416.87

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Solution

The fourth proportional to 3,866.44, 5,333.31 and 3,416.87 is: 4,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.44 : 5,333.31 = 3,416.87 : x
  2. Step 2: Convert to fraction form
    3,866.44/5,333.31 = 3,416.87/x
  3. Step 3: Cross multiply
    3,866.44x = 5,333.31 × 3,416.87
  4. Step 4: Simplify right side
    3,866.44x = 18,223,226.94
  5. Step 5: Solve for x
    x = 18,223,226.94/3,866.44
  6. Step 6: Final answer
    x = 4,713.18

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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.