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Finding the Fourth Proportional to 4,042.76, 5,578.02 and 2,363.20

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Solution

The fourth proportional to 4,042.76, 5,578.02 and 2,363.20 is: 3,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042.76 : 5,578.02 = 2,363.20 : x
  2. Step 2: Convert to fraction form
    4,042.76/5,578.02 = 2,363.20/x
  3. Step 3: Cross multiply
    4,042.76x = 5,578.02 × 2,363.20
  4. Step 4: Simplify right side
    4,042.76x = 13,181,976.86
  5. Step 5: Solve for x
    x = 13,181,976.86/4,042.76
  6. Step 6: Final answer
    x = 3,260.64

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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.