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Finding the Fourth Proportional to 3,773.97, 5,663.48 and 1,436.13

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Solution

The fourth proportional to 3,773.97, 5,663.48 and 1,436.13 is: 2,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.97 : 5,663.48 = 1,436.13 : x
  2. Step 2: Convert to fraction form
    3,773.97/5,663.48 = 1,436.13/x
  3. Step 3: Cross multiply
    3,773.97x = 5,663.48 × 1,436.13
  4. Step 4: Simplify right side
    3,773.97x = 8,133,486.35
  5. Step 5: Solve for x
    x = 8,133,486.35/3,773.97
  6. Step 6: Final answer
    x = 2,155.15

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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.