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Finding the Fourth Proportional to 3,642.24, 5,465.07 and 1,794.92

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Solution

The fourth proportional to 3,642.24, 5,465.07 and 1,794.92 is: 2,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.24 : 5,465.07 = 1,794.92 : x
  2. Step 2: Convert to fraction form
    3,642.24/5,465.07 = 1,794.92/x
  3. Step 3: Cross multiply
    3,642.24x = 5,465.07 × 1,794.92
  4. Step 4: Simplify right side
    3,642.24x = 9,809,336.12
  5. Step 5: Solve for x
    x = 9,809,336.12/3,642.24
  6. Step 6: Final answer
    x = 2,693.22

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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.