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Finding the Fourth Proportional to 5,273.89, 7,278.28 and 3,035.71

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Solution

The fourth proportional to 5,273.89, 7,278.28 and 3,035.71 is: 4,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.89 : 7,278.28 = 3,035.71 : x
  2. Step 2: Convert to fraction form
    5,273.89/7,278.28 = 3,035.71/x
  3. Step 3: Cross multiply
    5,273.89x = 7,278.28 × 3,035.71
  4. Step 4: Simplify right side
    5,273.89x = 22,094,747.38
  5. Step 5: Solve for x
    x = 22,094,747.38/5,273.89
  6. Step 6: Final answer
    x = 4,189.46

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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.