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Finding the Fourth Proportional to 3,569.13, 5,353.02 and 1,489.05

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Solution

The fourth proportional to 3,569.13, 5,353.02 and 1,489.05 is: 2,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.13 : 5,353.02 = 1,489.05 : x
  2. Step 2: Convert to fraction form
    3,569.13/5,353.02 = 1,489.05/x
  3. Step 3: Cross multiply
    3,569.13x = 5,353.02 × 1,489.05
  4. Step 4: Simplify right side
    3,569.13x = 7,970,914.43
  5. Step 5: Solve for x
    x = 7,970,914.43/3,569.13
  6. Step 6: Final answer
    x = 2,233.29

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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.