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Finding the Fourth Proportional to 3,476.61, 5,201.83 and 2,438.64

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Solution

The fourth proportional to 3,476.61, 5,201.83 and 2,438.64 is: 3,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.61 : 5,201.83 = 2,438.64 : x
  2. Step 2: Convert to fraction form
    3,476.61/5,201.83 = 2,438.64/x
  3. Step 3: Cross multiply
    3,476.61x = 5,201.83 × 2,438.64
  4. Step 4: Simplify right side
    3,476.61x = 12,685,390.71
  5. Step 5: Solve for x
    x = 12,685,390.71/3,476.61
  6. Step 6: Final answer
    x = 3,648.78

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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.