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Finding the Fourth Proportional to 3,564.46, 5,346.96 and 967.36

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Solution

The fourth proportional to 3,564.46, 5,346.96 and 967.36 is: 1,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.46 : 5,346.96 = 967.36 : x
  2. Step 2: Convert to fraction form
    3,564.46/5,346.96 = 967.36/x
  3. Step 3: Cross multiply
    3,564.46x = 5,346.96 × 967.36
  4. Step 4: Simplify right side
    3,564.46x = 5,172,435.23
  5. Step 5: Solve for x
    x = 5,172,435.23/3,564.46
  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.