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Finding the Fourth Proportional to 4,772, 6,585.36 and 2,676.80

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Solution

The fourth proportional to 4,772, 6,585.36 and 2,676.80 is: 3,693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772 : 6,585.36 = 2,676.80 : x
  2. Step 2: Convert to fraction form
    4,772/6,585.36 = 2,676.80/x
  3. Step 3: Cross multiply
    4,772x = 6,585.36 × 2,676.80
  4. Step 4: Simplify right side
    4,772x = 17,627,691.65
  5. Step 5: Solve for x
    x = 17,627,691.65/4,772
  6. Step 6: Final answer
    x = 3,693.98

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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.