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Finding the Fourth Proportional to 5,273.38, 7,277.07 and 3,035.17

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Solution

The fourth proportional to 5,273.38, 7,277.07 and 3,035.17 is: 4,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.38 : 7,277.07 = 3,035.17 : x
  2. Step 2: Convert to fraction form
    5,273.38/7,277.07 = 3,035.17/x
  3. Step 3: Cross multiply
    5,273.38x = 7,277.07 × 3,035.17
  4. Step 4: Simplify right side
    5,273.38x = 22,087,144.55
  5. Step 5: Solve for x
    x = 22,087,144.55/5,273.38
  6. Step 6: Final answer
    x = 4,188.42

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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.