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Finding the Fourth Proportional to 3,564.46, 5,346.67 and 967.41

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Solution

The fourth proportional to 3,564.46, 5,346.67 and 967.41 is: 1,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.46 : 5,346.67 = 967.41 : x
  2. Step 2: Convert to fraction form
    3,564.46/5,346.67 = 967.41/x
  3. Step 3: Cross multiply
    3,564.46x = 5,346.67 × 967.41
  4. Step 4: Simplify right side
    3,564.46x = 5,172,422.02
  5. Step 5: Solve for x
    x = 5,172,422.02/3,564.46
  6. Step 6: Final answer
    x = 1,451.11

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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.