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Finding the Fourth Proportional to 4,853.92, 7,274.80 and 2,077.32

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Solution

The fourth proportional to 4,853.92, 7,274.80 and 2,077.32 is: 3,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.92 : 7,274.80 = 2,077.32 : x
  2. Step 2: Convert to fraction form
    4,853.92/7,274.80 = 2,077.32/x
  3. Step 3: Cross multiply
    4,853.92x = 7,274.80 × 2,077.32
  4. Step 4: Simplify right side
    4,853.92x = 15,112,087.54
  5. Step 5: Solve for x
    x = 15,112,087.54/4,853.92
  6. Step 6: Final answer
    x = 3,113.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.