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Finding the Fourth Proportional to 3,978.98, 5,490.57 and 2,210.26

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Solution

The fourth proportional to 3,978.98, 5,490.57 and 2,210.26 is: 3,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.98 : 5,490.57 = 2,210.26 : x
  2. Step 2: Convert to fraction form
    3,978.98/5,490.57 = 2,210.26/x
  3. Step 3: Cross multiply
    3,978.98x = 5,490.57 × 2,210.26
  4. Step 4: Simplify right side
    3,978.98x = 12,135,587.25
  5. Step 5: Solve for x
    x = 12,135,587.25/3,978.98
  6. Step 6: Final answer
    x = 3,049.92

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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.