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Finding the Fourth Proportional to 3,739.53, 5,160.14 and 2,145.76

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Solution

The fourth proportional to 3,739.53, 5,160.14 and 2,145.76 is: 2,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.53 : 5,160.14 = 2,145.76 : x
  2. Step 2: Convert to fraction form
    3,739.53/5,160.14 = 2,145.76/x
  3. Step 3: Cross multiply
    3,739.53x = 5,160.14 × 2,145.76
  4. Step 4: Simplify right side
    3,739.53x = 11,072,406.42
  5. Step 5: Solve for x
    x = 11,072,406.42/3,739.53
  6. Step 6: Final answer
    x = 2,960.91

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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.