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Finding the Fourth Proportional to 3,075.75, 4,599.54 and 2,296.26

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Solution

The fourth proportional to 3,075.75, 4,599.54 and 2,296.26 is: 3,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.75 : 4,599.54 = 2,296.26 : x
  2. Step 2: Convert to fraction form
    3,075.75/4,599.54 = 2,296.26/x
  3. Step 3: Cross multiply
    3,075.75x = 4,599.54 × 2,296.26
  4. Step 4: Simplify right side
    3,075.75x = 10,561,739.72
  5. Step 5: Solve for x
    x = 10,561,739.72/3,075.75
  6. Step 6: Final answer
    x = 3,433.87

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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.