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Finding the Fourth Proportional to 4,541.38, 6,267.16 and 2,772.74

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Solution

The fourth proportional to 4,541.38, 6,267.16 and 2,772.74 is: 3,826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.38 : 6,267.16 = 2,772.74 : x
  2. Step 2: Convert to fraction form
    4,541.38/6,267.16 = 2,772.74/x
  3. Step 3: Cross multiply
    4,541.38x = 6,267.16 × 2,772.74
  4. Step 4: Simplify right side
    4,541.38x = 17,377,205.22
  5. Step 5: Solve for x
    x = 17,377,205.22/4,541.38
  6. Step 6: Final answer
    x = 3,826.42

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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.