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Finding the Fourth Proportional to 3,422.39, 4,720.38 and 2,583.12

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Solution

The fourth proportional to 3,422.39, 4,720.38 and 2,583.12 is: 3,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.39 : 4,720.38 = 2,583.12 : x
  2. Step 2: Convert to fraction form
    3,422.39/4,720.38 = 2,583.12/x
  3. Step 3: Cross multiply
    3,422.39x = 4,720.38 × 2,583.12
  4. Step 4: Simplify right side
    3,422.39x = 12,193,316.00
  5. Step 5: Solve for x
    x = 12,193,316.00/3,422.39
  6. Step 6: Final answer
    x = 3,562.81

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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.