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Finding the Fourth Proportional to 5,910, 8,156.61 and 3,813.72

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Solution

The fourth proportional to 5,910, 8,156.61 and 3,813.72 is: 5,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910 : 8,156.61 = 3,813.72 : x
  2. Step 2: Convert to fraction form
    5,910/8,156.61 = 3,813.72/x
  3. Step 3: Cross multiply
    5,910x = 8,156.61 × 3,813.72
  4. Step 4: Simplify right side
    5,910x = 31,107,026.69
  5. Step 5: Solve for x
    x = 31,107,026.69/5,910
  6. Step 6: Final answer
    x = 5,263.46

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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.