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Finding the Fourth Proportional to 4,547.26, 6,787.72 and 3,993.69

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Solution

The fourth proportional to 4,547.26, 6,787.72 and 3,993.69 is: 5,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.26 : 6,787.72 = 3,993.69 : x
  2. Step 2: Convert to fraction form
    4,547.26/6,787.72 = 3,993.69/x
  3. Step 3: Cross multiply
    4,547.26x = 6,787.72 × 3,993.69
  4. Step 4: Simplify right side
    4,547.26x = 27,108,049.49
  5. Step 5: Solve for x
    x = 27,108,049.49/4,547.26
  6. Step 6: Final answer
    x = 5,961.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.