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Finding the Fourth Proportional to 3,564.22, 5,346.31 and 967.15

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Solution

The fourth proportional to 3,564.22, 5,346.31 and 967.15 is: 1,450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.22 : 5,346.31 = 967.15 : x
  2. Step 2: Convert to fraction form
    3,564.22/5,346.31 = 967.15/x
  3. Step 3: Cross multiply
    3,564.22x = 5,346.31 × 967.15
  4. Step 4: Simplify right side
    3,564.22x = 5,170,683.72
  5. Step 5: Solve for x
    x = 5,170,683.72/3,564.22
  6. Step 6: Final answer
    x = 1,450.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.