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Finding the Fourth Proportional to 5,696.38, 7,860.78 and 3,338.46

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Solution

The fourth proportional to 5,696.38, 7,860.78 and 3,338.46 is: 4,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.38 : 7,860.78 = 3,338.46 : x
  2. Step 2: Convert to fraction form
    5,696.38/7,860.78 = 3,338.46/x
  3. Step 3: Cross multiply
    5,696.38x = 7,860.78 × 3,338.46
  4. Step 4: Simplify right side
    5,696.38x = 26,242,899.60
  5. Step 5: Solve for x
    x = 26,242,899.60/5,696.38
  6. Step 6: Final answer
    x = 4,606.94

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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.