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Finding the Fourth Proportional to 4,042.46, 5,578.52 and 2,274

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Solution

The fourth proportional to 4,042.46, 5,578.52 and 2,274 is: 3,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042.46 : 5,578.52 = 2,274 : x
  2. Step 2: Convert to fraction form
    4,042.46/5,578.52 = 2,274/x
  3. Step 3: Cross multiply
    4,042.46x = 5,578.52 × 2,274
  4. Step 4: Simplify right side
    4,042.46x = 12,685,543.11
  5. Step 5: Solve for x
    x = 12,685,543.11/4,042.46
  6. Step 6: Final answer
    x = 3,138.08

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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.