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Finding the Fourth Proportional to 3,813.49, 5,713.98 and 2,348.47

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Solution

The fourth proportional to 3,813.49, 5,713.98 and 2,348.47 is: 3,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.49 : 5,713.98 = 2,348.47 : x
  2. Step 2: Convert to fraction form
    3,813.49/5,713.98 = 2,348.47/x
  3. Step 3: Cross multiply
    3,813.49x = 5,713.98 × 2,348.47
  4. Step 4: Simplify right side
    3,813.49x = 13,419,110.61
  5. Step 5: Solve for x
    x = 13,419,110.61/3,813.49
  6. Step 6: Final answer
    x = 3,518.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.