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Finding the Fourth Proportional to 5,311.98, 7,331.77 and 3,075.17

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Solution

The fourth proportional to 5,311.98, 7,331.77 and 3,075.17 is: 4,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.98 : 7,331.77 = 3,075.17 : x
  2. Step 2: Convert to fraction form
    5,311.98/7,331.77 = 3,075.17/x
  3. Step 3: Cross multiply
    5,311.98x = 7,331.77 × 3,075.17
  4. Step 4: Simplify right side
    5,311.98x = 22,546,389.04
  5. Step 5: Solve for x
    x = 22,546,389.04/5,311.98
  6. Step 6: Final answer
    x = 4,244.44

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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.