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Finding the Fourth Proportional to 3,833.46, 5,288.24 and 2,507.94

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Solution

The fourth proportional to 3,833.46, 5,288.24 and 2,507.94 is: 3,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.46 : 5,288.24 = 2,507.94 : x
  2. Step 2: Convert to fraction form
    3,833.46/5,288.24 = 2,507.94/x
  3. Step 3: Cross multiply
    3,833.46x = 5,288.24 × 2,507.94
  4. Step 4: Simplify right side
    3,833.46x = 13,262,576.09
  5. Step 5: Solve for x
    x = 13,262,576.09/3,833.46
  6. Step 6: Final answer
    x = 3,459.69

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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.