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Finding the Fourth Proportional to 4,557, 6,287.22 and 2,787.72

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Solution

The fourth proportional to 4,557, 6,287.22 and 2,787.72 is: 3,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557 : 6,287.22 = 2,787.72 : x
  2. Step 2: Convert to fraction form
    4,557/6,287.22 = 2,787.72/x
  3. Step 3: Cross multiply
    4,557x = 6,287.22 × 2,787.72
  4. Step 4: Simplify right side
    4,557x = 17,527,008.94
  5. Step 5: Solve for x
    x = 17,527,008.94/4,557
  6. Step 6: Final answer
    x = 3,846.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.