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Finding the Fourth Proportional to 5,693.92, 7,858.38 and 3,337

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Solution

The fourth proportional to 5,693.92, 7,858.38 and 3,337 is: 4,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.92 : 7,858.38 = 3,337 : x
  2. Step 2: Convert to fraction form
    5,693.92/7,858.38 = 3,337/x
  3. Step 3: Cross multiply
    5,693.92x = 7,858.38 × 3,337
  4. Step 4: Simplify right side
    5,693.92x = 26,223,414.06
  5. Step 5: Solve for x
    x = 26,223,414.06/5,693.92
  6. Step 6: Final answer
    x = 4,605.51

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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.