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Finding the Fourth Proportional to 3,164.94, 4,378.59 and 2,773.17

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Solution

The fourth proportional to 3,164.94, 4,378.59 and 2,773.17 is: 3,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.94 : 4,378.59 = 2,773.17 : x
  2. Step 2: Convert to fraction form
    3,164.94/4,378.59 = 2,773.17/x
  3. Step 3: Cross multiply
    3,164.94x = 4,378.59 × 2,773.17
  4. Step 4: Simplify right side
    3,164.94x = 12,142,574.43
  5. Step 5: Solve for x
    x = 12,142,574.43/3,164.94
  6. Step 6: Final answer
    x = 3,836.59

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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.