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Finding the Fourth Proportional to 3,412.78, 5,114.22 and 1,851.46

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Solution

The fourth proportional to 3,412.78, 5,114.22 and 1,851.46 is: 2,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.78 : 5,114.22 = 1,851.46 : x
  2. Step 2: Convert to fraction form
    3,412.78/5,114.22 = 1,851.46/x
  3. Step 3: Cross multiply
    3,412.78x = 5,114.22 × 1,851.46
  4. Step 4: Simplify right side
    3,412.78x = 9,468,773.76
  5. Step 5: Solve for x
    x = 9,468,773.76/3,412.78
  6. Step 6: Final answer
    x = 2,774.50

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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.