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Finding the Fourth Proportional to 4,042.69, 5,578.07 and 2,363.77

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Solution

The fourth proportional to 4,042.69, 5,578.07 and 2,363.77 is: 3,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042.69 : 5,578.07 = 2,363.77 : x
  2. Step 2: Convert to fraction form
    4,042.69/5,578.07 = 2,363.77/x
  3. Step 3: Cross multiply
    4,042.69x = 5,578.07 × 2,363.77
  4. Step 4: Simplify right side
    4,042.69x = 13,185,246.63
  5. Step 5: Solve for x
    x = 13,185,246.63/4,042.69
  6. Step 6: Final answer
    x = 3,261.51

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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.