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Finding the Fourth Proportional to 4,905.71, 6,787.70 and 4,277.54

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Solution

The fourth proportional to 4,905.71, 6,787.70 and 4,277.54 is: 5,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.71 : 6,787.70 = 4,277.54 : x
  2. Step 2: Convert to fraction form
    4,905.71/6,787.70 = 4,277.54/x
  3. Step 3: Cross multiply
    4,905.71x = 6,787.70 × 4,277.54
  4. Step 4: Simplify right side
    4,905.71x = 29,034,680.57
  5. Step 5: Solve for x
    x = 29,034,680.57/4,905.71
  6. Step 6: Final answer
    x = 5,918.55

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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.