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Finding the Fourth Proportional to 3,775.65, 5,665.10 and 2,687.01

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Solution

The fourth proportional to 3,775.65, 5,665.10 and 2,687.01 is: 4,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.65 : 5,665.10 = 2,687.01 : x
  2. Step 2: Convert to fraction form
    3,775.65/5,665.10 = 2,687.01/x
  3. Step 3: Cross multiply
    3,775.65x = 5,665.10 × 2,687.01
  4. Step 4: Simplify right side
    3,775.65x = 15,222,166.92
  5. Step 5: Solve for x
    x = 15,222,166.92/3,775.65
  6. Step 6: Final answer
    x = 4,031.67

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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.