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Finding the Fourth Proportional to 3,470.06, 4,787.32 and 2,141.46

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Solution

The fourth proportional to 3,470.06, 4,787.32 and 2,141.46 is: 2,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.06 : 4,787.32 = 2,141.46 : x
  2. Step 2: Convert to fraction form
    3,470.06/4,787.32 = 2,141.46/x
  3. Step 3: Cross multiply
    3,470.06x = 4,787.32 × 2,141.46
  4. Step 4: Simplify right side
    3,470.06x = 10,251,854.29
  5. Step 5: Solve for x
    x = 10,251,854.29/3,470.06
  6. Step 6: Final answer
    x = 2,954.37

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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.