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Finding the Fourth Proportional to 4,838.94, 6,686.82 and 3,954.42

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Solution

The fourth proportional to 4,838.94, 6,686.82 and 3,954.42 is: 5,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.94 : 6,686.82 = 3,954.42 : x
  2. Step 2: Convert to fraction form
    4,838.94/6,686.82 = 3,954.42/x
  3. Step 3: Cross multiply
    4,838.94x = 6,686.82 × 3,954.42
  4. Step 4: Simplify right side
    4,838.94x = 26,442,494.74
  5. Step 5: Solve for x
    x = 26,442,494.74/4,838.94
  6. Step 6: Final answer
    x = 5,464.52

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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.