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Finding the Fourth Proportional to 3,564.90, 5,336.28 and 2,329.65

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Solution

The fourth proportional to 3,564.90, 5,336.28 and 2,329.65 is: 3,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.90 : 5,336.28 = 2,329.65 : x
  2. Step 2: Convert to fraction form
    3,564.90/5,336.28 = 2,329.65/x
  3. Step 3: Cross multiply
    3,564.90x = 5,336.28 × 2,329.65
  4. Step 4: Simplify right side
    3,564.90x = 12,431,664.70
  5. Step 5: Solve for x
    x = 12,431,664.70/3,564.90
  6. Step 6: Final answer
    x = 3,487.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.