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Finding the Fourth Proportional to 3,813.87, 5,705.02 and 3,580.59

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Solution

The fourth proportional to 3,813.87, 5,705.02 and 3,580.59 is: 5,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.87 : 5,705.02 = 3,580.59 : x
  2. Step 2: Convert to fraction form
    3,813.87/5,705.02 = 3,580.59/x
  3. Step 3: Cross multiply
    3,813.87x = 5,705.02 × 3,580.59
  4. Step 4: Simplify right side
    3,813.87x = 20,427,343.29
  5. Step 5: Solve for x
    x = 20,427,343.29/3,813.87
  6. Step 6: Final answer
    x = 5,356.06

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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.