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Finding the Fourth Proportional to 4,649.91, 6,972.14 and 1,874.31

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Solution

The fourth proportional to 4,649.91, 6,972.14 and 1,874.31 is: 2,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.91 : 6,972.14 = 1,874.31 : x
  2. Step 2: Convert to fraction form
    4,649.91/6,972.14 = 1,874.31/x
  3. Step 3: Cross multiply
    4,649.91x = 6,972.14 × 1,874.31
  4. Step 4: Simplify right side
    4,649.91x = 13,067,942.35
  5. Step 5: Solve for x
    x = 13,067,942.35/4,649.91
  6. Step 6: Final answer
    x = 2,810.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.