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Finding the Fourth Proportional to 3,801.78, 5,699.46 and 1,460.52

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Solution

The fourth proportional to 3,801.78, 5,699.46 and 1,460.52 is: 2,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.78 : 5,699.46 = 1,460.52 : x
  2. Step 2: Convert to fraction form
    3,801.78/5,699.46 = 1,460.52/x
  3. Step 3: Cross multiply
    3,801.78x = 5,699.46 × 1,460.52
  4. Step 4: Simplify right side
    3,801.78x = 8,324,175.32
  5. Step 5: Solve for x
    x = 8,324,175.32/3,801.78
  6. Step 6: Final answer
    x = 2,189.55

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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.