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Finding the Fourth Proportional to 3,874.77, 5,807.34 and 1,898.78

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Solution

The fourth proportional to 3,874.77, 5,807.34 and 1,898.78 is: 2,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.77 : 5,807.34 = 1,898.78 : x
  2. Step 2: Convert to fraction form
    3,874.77/5,807.34 = 1,898.78/x
  3. Step 3: Cross multiply
    3,874.77x = 5,807.34 × 1,898.78
  4. Step 4: Simplify right side
    3,874.77x = 11,026,832.01
  5. Step 5: Solve for x
    x = 11,026,832.01/3,874.77
  6. Step 6: Final answer
    x = 2,845.80

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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.