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Finding the Fourth Proportional to 3,773.36, 5,206.20 and 2,447.12

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Solution

The fourth proportional to 3,773.36, 5,206.20 and 2,447.12 is: 3,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.36 : 5,206.20 = 2,447.12 : x
  2. Step 2: Convert to fraction form
    3,773.36/5,206.20 = 2,447.12/x
  3. Step 3: Cross multiply
    3,773.36x = 5,206.20 × 2,447.12
  4. Step 4: Simplify right side
    3,773.36x = 12,740,196.14
  5. Step 5: Solve for x
    x = 12,740,196.14/3,773.36
  6. Step 6: Final answer
    x = 3,376.35

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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.