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Finding the Fourth Proportional to 3,740.30, 5,605.14 and 2,075.14

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Solution

The fourth proportional to 3,740.30, 5,605.14 and 2,075.14 is: 3,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.30 : 5,605.14 = 2,075.14 : x
  2. Step 2: Convert to fraction form
    3,740.30/5,605.14 = 2,075.14/x
  3. Step 3: Cross multiply
    3,740.30x = 5,605.14 × 2,075.14
  4. Step 4: Simplify right side
    3,740.30x = 11,631,450.22
  5. Step 5: Solve for x
    x = 11,631,450.22/3,740.30
  6. Step 6: Final answer
    x = 3,109.76

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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.