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Finding the Fourth Proportional to 5,601.68, 7,735.74 and 4,202

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Solution

The fourth proportional to 5,601.68, 7,735.74 and 4,202 is: 5,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.68 : 7,735.74 = 4,202 : x
  2. Step 2: Convert to fraction form
    5,601.68/7,735.74 = 4,202/x
  3. Step 3: Cross multiply
    5,601.68x = 7,735.74 × 4,202
  4. Step 4: Simplify right side
    5,601.68x = 32,505,579.48
  5. Step 5: Solve for x
    x = 32,505,579.48/5,601.68
  6. Step 6: Final answer
    x = 5,802.83

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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.