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Finding the Fourth Proportional to 5,305.49, 7,958.24 and 2,017.80

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Solution

The fourth proportional to 5,305.49, 7,958.24 and 2,017.80 is: 3,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.49 : 7,958.24 = 2,017.80 : x
  2. Step 2: Convert to fraction form
    5,305.49/7,958.24 = 2,017.80/x
  3. Step 3: Cross multiply
    5,305.49x = 7,958.24 × 2,017.80
  4. Step 4: Simplify right side
    5,305.49x = 16,058,126.58
  5. Step 5: Solve for x
    x = 16,058,126.58/5,305.49
  6. Step 6: Final answer
    x = 3,026.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.