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Finding the Fourth Proportional to 3,564.96, 5,347.43 and 967.91

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Solution

The fourth proportional to 3,564.96, 5,347.43 and 967.91 is: 1,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.96 : 5,347.43 = 967.91 : x
  2. Step 2: Convert to fraction form
    3,564.96/5,347.43 = 967.91/x
  3. Step 3: Cross multiply
    3,564.96x = 5,347.43 × 967.91
  4. Step 4: Simplify right side
    3,564.96x = 5,175,799.39
  5. Step 5: Solve for x
    x = 5,175,799.39/3,564.96
  6. Step 6: Final answer
    x = 1,451.85

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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.