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Finding the Fourth Proportional to 3,869.94, 5,340.42 and 2,298

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Solution

The fourth proportional to 3,869.94, 5,340.42 and 2,298 is: 3,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.94 : 5,340.42 = 2,298 : x
  2. Step 2: Convert to fraction form
    3,869.94/5,340.42 = 2,298/x
  3. Step 3: Cross multiply
    3,869.94x = 5,340.42 × 2,298
  4. Step 4: Simplify right side
    3,869.94x = 12,272,285.16
  5. Step 5: Solve for x
    x = 12,272,285.16/3,869.94
  6. Step 6: Final answer
    x = 3,171.18

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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.