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Finding the Fourth Proportional to 5,646.38, 7,792.01 and 3,162.38

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Solution

The fourth proportional to 5,646.38, 7,792.01 and 3,162.38 is: 4,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.38 : 7,792.01 = 3,162.38 : x
  2. Step 2: Convert to fraction form
    5,646.38/7,792.01 = 3,162.38/x
  3. Step 3: Cross multiply
    5,646.38x = 7,792.01 × 3,162.38
  4. Step 4: Simplify right side
    5,646.38x = 24,641,296.58
  5. Step 5: Solve for x
    x = 24,641,296.58/5,646.38
  6. Step 6: Final answer
    x = 4,364.09

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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.