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Finding the Fourth Proportional to 3,678.56, 5,075.01 and 2,352.05

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Solution

The fourth proportional to 3,678.56, 5,075.01 and 2,352.05 is: 3,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.56 : 5,075.01 = 2,352.05 : x
  2. Step 2: Convert to fraction form
    3,678.56/5,075.01 = 2,352.05/x
  3. Step 3: Cross multiply
    3,678.56x = 5,075.01 × 2,352.05
  4. Step 4: Simplify right side
    3,678.56x = 11,936,651.90
  5. Step 5: Solve for x
    x = 11,936,651.90/3,678.56
  6. Step 6: Final answer
    x = 3,244.93

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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.