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Finding the Fourth Proportional to 4,866.72, 6,714.54 and 2,849.82

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Solution

The fourth proportional to 4,866.72, 6,714.54 and 2,849.82 is: 3,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.72 : 6,714.54 = 2,849.82 : x
  2. Step 2: Convert to fraction form
    4,866.72/6,714.54 = 2,849.82/x
  3. Step 3: Cross multiply
    4,866.72x = 6,714.54 × 2,849.82
  4. Step 4: Simplify right side
    4,866.72x = 19,135,230.38
  5. Step 5: Solve for x
    x = 19,135,230.38/4,866.72
  6. Step 6: Final answer
    x = 3,931.85

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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.