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Finding the Fourth Proportional to 3,564.21, 5,346.78 and 1,372.67

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Solution

The fourth proportional to 3,564.21, 5,346.78 and 1,372.67 is: 2,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.21 : 5,346.78 = 1,372.67 : x
  2. Step 2: Convert to fraction form
    3,564.21/5,346.78 = 1,372.67/x
  3. Step 3: Cross multiply
    3,564.21x = 5,346.78 × 1,372.67
  4. Step 4: Simplify right side
    3,564.21x = 7,339,364.50
  5. Step 5: Solve for x
    x = 7,339,364.50/3,564.21
  6. Step 6: Final answer
    x = 2,059.18

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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.