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Finding the Fourth Proportional to 3,805.13, 5,706.81 and 1,464.36

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Solution

The fourth proportional to 3,805.13, 5,706.81 and 1,464.36 is: 2,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.13 : 5,706.81 = 1,464.36 : x
  2. Step 2: Convert to fraction form
    3,805.13/5,706.81 = 1,464.36/x
  3. Step 3: Cross multiply
    3,805.13x = 5,706.81 × 1,464.36
  4. Step 4: Simplify right side
    3,805.13x = 8,356,824.29
  5. Step 5: Solve for x
    x = 8,356,824.29/3,805.13
  6. Step 6: Final answer
    x = 2,196.20

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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.