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Finding the Fourth Proportional to 3,468.64, 4,787.62 and 2,141.59

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Solution

The fourth proportional to 3,468.64, 4,787.62 and 2,141.59 is: 2,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.64 : 4,787.62 = 2,141.59 : x
  2. Step 2: Convert to fraction form
    3,468.64/4,787.62 = 2,141.59/x
  3. Step 3: Cross multiply
    3,468.64x = 4,787.62 × 2,141.59
  4. Step 4: Simplify right side
    3,468.64x = 10,253,092.82
  5. Step 5: Solve for x
    x = 10,253,092.82/3,468.64
  6. Step 6: Final answer
    x = 2,955.94

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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.