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Finding the Fourth Proportional to 3,798.53, 5,699.85 and 1,850.74

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Solution

The fourth proportional to 3,798.53, 5,699.85 and 1,850.74 is: 2,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.53 : 5,699.85 = 1,850.74 : x
  2. Step 2: Convert to fraction form
    3,798.53/5,699.85 = 1,850.74/x
  3. Step 3: Cross multiply
    3,798.53x = 5,699.85 × 1,850.74
  4. Step 4: Simplify right side
    3,798.53x = 10,548,919.20
  5. Step 5: Solve for x
    x = 10,548,919.20/3,798.53
  6. Step 6: Final answer
    x = 2,777.10

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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.