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Finding the Fourth Proportional to 3,886.41, 5,357.68 and 2,393.31

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Solution

The fourth proportional to 3,886.41, 5,357.68 and 2,393.31 is: 3,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.41 : 5,357.68 = 2,393.31 : x
  2. Step 2: Convert to fraction form
    3,886.41/5,357.68 = 2,393.31/x
  3. Step 3: Cross multiply
    3,886.41x = 5,357.68 × 2,393.31
  4. Step 4: Simplify right side
    3,886.41x = 12,822,603.23
  5. Step 5: Solve for x
    x = 12,822,603.23/3,886.41
  6. Step 6: Final answer
    x = 3,299.34

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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.