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Finding the Fourth Proportional to 3,569, 4,919.82 and 3,068.96

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Solution

The fourth proportional to 3,569, 4,919.82 and 3,068.96 is: 4,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569 : 4,919.82 = 3,068.96 : x
  2. Step 2: Convert to fraction form
    3,569/4,919.82 = 3,068.96/x
  3. Step 3: Cross multiply
    3,569x = 4,919.82 × 3,068.96
  4. Step 4: Simplify right side
    3,569x = 15,098,730.79
  5. Step 5: Solve for x
    x = 15,098,730.79/3,569
  6. Step 6: Final answer
    x = 4,230.52

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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.