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Finding the Fourth Proportional to 3,813.17, 5,720.33 and 1,348.01

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Solution

The fourth proportional to 3,813.17, 5,720.33 and 1,348.01 is: 2,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.17 : 5,720.33 = 1,348.01 : x
  2. Step 2: Convert to fraction form
    3,813.17/5,720.33 = 1,348.01/x
  3. Step 3: Cross multiply
    3,813.17x = 5,720.33 × 1,348.01
  4. Step 4: Simplify right side
    3,813.17x = 7,711,055.30
  5. Step 5: Solve for x
    x = 7,711,055.30/3,813.17
  6. Step 6: Final answer
    x = 2,022.22

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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.