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Finding the Fourth Proportional to 3,966.12, 5,471.82 and 2,393.64

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Solution

The fourth proportional to 3,966.12, 5,471.82 and 2,393.64 is: 3,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.12 : 5,471.82 = 2,393.64 : x
  2. Step 2: Convert to fraction form
    3,966.12/5,471.82 = 2,393.64/x
  3. Step 3: Cross multiply
    3,966.12x = 5,471.82 × 2,393.64
  4. Step 4: Simplify right side
    3,966.12x = 13,097,567.22
  5. Step 5: Solve for x
    x = 13,097,567.22/3,966.12
  6. Step 6: Final answer
    x = 3,302.36

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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.