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Finding the Fourth Proportional to 3,846.42, 5,304.51 and 2,854.17

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Solution

The fourth proportional to 3,846.42, 5,304.51 and 2,854.17 is: 3,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.42 : 5,304.51 = 2,854.17 : x
  2. Step 2: Convert to fraction form
    3,846.42/5,304.51 = 2,854.17/x
  3. Step 3: Cross multiply
    3,846.42x = 5,304.51 × 2,854.17
  4. Step 4: Simplify right side
    3,846.42x = 15,139,973.31
  5. Step 5: Solve for x
    x = 15,139,973.31/3,846.42
  6. Step 6: Final answer
    x = 3,936.12

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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.