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Finding the Fourth Proportional to 5,719.74, 7,893.06 and 3,201.90

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Solution

The fourth proportional to 5,719.74, 7,893.06 and 3,201.90 is: 4,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.74 : 7,893.06 = 3,201.90 : x
  2. Step 2: Convert to fraction form
    5,719.74/7,893.06 = 3,201.90/x
  3. Step 3: Cross multiply
    5,719.74x = 7,893.06 × 3,201.90
  4. Step 4: Simplify right side
    5,719.74x = 25,272,788.81
  5. Step 5: Solve for x
    x = 25,272,788.81/5,719.74
  6. Step 6: Final answer
    x = 4,418.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.