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Finding the Fourth Proportional to 4,274.24, 5,902.52 and 4,041.28

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Solution

The fourth proportional to 4,274.24, 5,902.52 and 4,041.28 is: 5,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.24 : 5,902.52 = 4,041.28 : x
  2. Step 2: Convert to fraction form
    4,274.24/5,902.52 = 4,041.28/x
  3. Step 3: Cross multiply
    4,274.24x = 5,902.52 × 4,041.28
  4. Step 4: Simplify right side
    4,274.24x = 23,853,712.73
  5. Step 5: Solve for x
    x = 23,853,712.73/4,274.24
  6. Step 6: Final answer
    x = 5,580.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.