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Finding the Fourth Proportional to 4,256.79, 6,377.50 and 1,787.19

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Solution

The fourth proportional to 4,256.79, 6,377.50 and 1,787.19 is: 2,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.79 : 6,377.50 = 1,787.19 : x
  2. Step 2: Convert to fraction form
    4,256.79/6,377.50 = 1,787.19/x
  3. Step 3: Cross multiply
    4,256.79x = 6,377.50 × 1,787.19
  4. Step 4: Simplify right side
    4,256.79x = 11,397,792.94
  5. Step 5: Solve for x
    x = 11,397,792.94/4,256.79
  6. Step 6: Final answer
    x = 2,677.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.