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Finding the Fourth Proportional to 3,564.22, 5,347 and 1,372.76

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Solution

The fourth proportional to 3,564.22, 5,347 and 1,372.76 is: 2,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.22 : 5,347 = 1,372.76 : x
  2. Step 2: Convert to fraction form
    3,564.22/5,347 = 1,372.76/x
  3. Step 3: Cross multiply
    3,564.22x = 5,347 × 1,372.76
  4. Step 4: Simplify right side
    3,564.22x = 7,340,147.72
  5. Step 5: Solve for x
    x = 7,340,147.72/3,564.22
  6. Step 6: Final answer
    x = 2,059.40

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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.