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Finding the Fourth Proportional to 3,384.12, 4,672.08 and 2,538

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Solution

The fourth proportional to 3,384.12, 4,672.08 and 2,538 is: 3,503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.12 : 4,672.08 = 2,538 : x
  2. Step 2: Convert to fraction form
    3,384.12/4,672.08 = 2,538/x
  3. Step 3: Cross multiply
    3,384.12x = 4,672.08 × 2,538
  4. Step 4: Simplify right side
    3,384.12x = 11,857,739.04
  5. Step 5: Solve for x
    x = 11,857,739.04/3,384.12
  6. Step 6: Final answer
    x = 3,503.94

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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.