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Finding the Fourth Proportional to 3,493.29, 4,821.77 and 2,077.98

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Solution

The fourth proportional to 3,493.29, 4,821.77 and 2,077.98 is: 2,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.29 : 4,821.77 = 2,077.98 : x
  2. Step 2: Convert to fraction form
    3,493.29/4,821.77 = 2,077.98/x
  3. Step 3: Cross multiply
    3,493.29x = 4,821.77 × 2,077.98
  4. Step 4: Simplify right side
    3,493.29x = 10,019,541.62
  5. Step 5: Solve for x
    x = 10,019,541.62/3,493.29
  6. Step 6: Final answer
    x = 2,868.22

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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.