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Finding the Fourth Proportional to 3,569.69, 5,353.21 and 1,229.04

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Solution

The fourth proportional to 3,569.69, 5,353.21 and 1,229.04 is: 1,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.69 : 5,353.21 = 1,229.04 : x
  2. Step 2: Convert to fraction form
    3,569.69/5,353.21 = 1,229.04/x
  3. Step 3: Cross multiply
    3,569.69x = 5,353.21 × 1,229.04
  4. Step 4: Simplify right side
    3,569.69x = 6,579,303.07
  5. Step 5: Solve for x
    x = 6,579,303.07/3,569.69
  6. Step 6: Final answer
    x = 1,843.10

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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.