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Finding the Fourth Proportional to 4,274.87, 5,902.25 and 3,278.39

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Solution

The fourth proportional to 4,274.87, 5,902.25 and 3,278.39 is: 4,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.87 : 5,902.25 = 3,278.39 : x
  2. Step 2: Convert to fraction form
    4,274.87/5,902.25 = 3,278.39/x
  3. Step 3: Cross multiply
    4,274.87x = 5,902.25 × 3,278.39
  4. Step 4: Simplify right side
    4,274.87x = 19,349,831.47
  5. Step 5: Solve for x
    x = 19,349,831.47/4,274.87
  6. Step 6: Final answer
    x = 4,526.42

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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.