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Finding the Fourth Proportional to 3,564.24, 5,346.37 and 967.18

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Solution

The fourth proportional to 3,564.24, 5,346.37 and 967.18 is: 1,450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.24 : 5,346.37 = 967.18 : x
  2. Step 2: Convert to fraction form
    3,564.24/5,346.37 = 967.18/x
  3. Step 3: Cross multiply
    3,564.24x = 5,346.37 × 967.18
  4. Step 4: Simplify right side
    3,564.24x = 5,170,894.56
  5. Step 5: Solve for x
    x = 5,170,894.56/3,564.24
  6. Step 6: Final answer
    x = 1,450.77

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Similar ratio
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1.5x scale

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.