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Finding the Fourth Proportional to 3,075.37, 4,609 and 1,125.70

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Solution

The fourth proportional to 3,075.37, 4,609 and 1,125.70 is: 1,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.37 : 4,609 = 1,125.70 : x
  2. Step 2: Convert to fraction form
    3,075.37/4,609 = 1,125.70/x
  3. Step 3: Cross multiply
    3,075.37x = 4,609 × 1,125.70
  4. Step 4: Simplify right side
    3,075.37x = 5,188,351.30
  5. Step 5: Solve for x
    x = 5,188,351.30/3,075.37
  6. Step 6: Final answer
    x = 1,687.07

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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.