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Finding the Fourth Proportional to 4,147.39, 5,719.01 and 3,203.33

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Solution

The fourth proportional to 4,147.39, 5,719.01 and 3,203.33 is: 4,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.39 : 5,719.01 = 3,203.33 : x
  2. Step 2: Convert to fraction form
    4,147.39/5,719.01 = 3,203.33/x
  3. Step 3: Cross multiply
    4,147.39x = 5,719.01 × 3,203.33
  4. Step 4: Simplify right side
    4,147.39x = 18,319,874.58
  5. Step 5: Solve for x
    x = 18,319,874.58/4,147.39
  6. Step 6: Final answer
    x = 4,417.21

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