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Finding the Fourth Proportional to 3,188.06, 4,398.06 and 2,069.36

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Solution

The fourth proportional to 3,188.06, 4,398.06 and 2,069.36 is: 2,854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.06 : 4,398.06 = 2,069.36 : x
  2. Step 2: Convert to fraction form
    3,188.06/4,398.06 = 2,069.36/x
  3. Step 3: Cross multiply
    3,188.06x = 4,398.06 × 2,069.36
  4. Step 4: Simplify right side
    3,188.06x = 9,101,169.44
  5. Step 5: Solve for x
    x = 9,101,169.44/3,188.06
  6. Step 6: Final answer
    x = 2,854.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.