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Finding the Fourth Proportional to 3,383.98, 5,075.78 and 1,075.30

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Solution

The fourth proportional to 3,383.98, 5,075.78 and 1,075.30 is: 1,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.98 : 5,075.78 = 1,075.30 : x
  2. Step 2: Convert to fraction form
    3,383.98/5,075.78 = 1,075.30/x
  3. Step 3: Cross multiply
    3,383.98x = 5,075.78 × 1,075.30
  4. Step 4: Simplify right side
    3,383.98x = 5,457,963.54
  5. Step 5: Solve for x
    x = 5,457,963.54/3,383.98
  6. Step 6: Final answer
    x = 1,612.89

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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.