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Finding the Fourth Proportional to 3,564.44, 5,346.58 and 967.39

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Solution

The fourth proportional to 3,564.44, 5,346.58 and 967.39 is: 1,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.44 : 5,346.58 = 967.39 : x
  2. Step 2: Convert to fraction form
    3,564.44/5,346.58 = 967.39/x
  3. Step 3: Cross multiply
    3,564.44x = 5,346.58 × 967.39
  4. Step 4: Simplify right side
    3,564.44x = 5,172,228.03
  5. Step 5: Solve for x
    x = 5,172,228.03/3,564.44
  6. Step 6: Final answer
    x = 1,451.06

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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.