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Finding the Fourth Proportional to 5,569, 7,684.38 and 3,329.32

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Solution

The fourth proportional to 5,569, 7,684.38 and 3,329.32 is: 4,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569 : 7,684.38 = 3,329.32 : x
  2. Step 2: Convert to fraction form
    5,569/7,684.38 = 3,329.32/x
  3. Step 3: Cross multiply
    5,569x = 7,684.38 × 3,329.32
  4. Step 4: Simplify right side
    5,569x = 25,583,760.02
  5. Step 5: Solve for x
    x = 25,583,760.02/5,569
  6. Step 6: Final answer
    x = 4,593.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.