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Finding the Fourth Proportional to 3,775.05, 5,209.59 and 2,096.46

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Solution

The fourth proportional to 3,775.05, 5,209.59 and 2,096.46 is: 2,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.05 : 5,209.59 = 2,096.46 : x
  2. Step 2: Convert to fraction form
    3,775.05/5,209.59 = 2,096.46/x
  3. Step 3: Cross multiply
    3,775.05x = 5,209.59 × 2,096.46
  4. Step 4: Simplify right side
    3,775.05x = 10,921,686.57
  5. Step 5: Solve for x
    x = 10,921,686.57/3,775.05
  6. Step 6: Final answer
    x = 2,893.12

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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.