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Finding the Fourth Proportional to 5,913, 8,160.04 and 3,820.77

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Solution

The fourth proportional to 5,913, 8,160.04 and 3,820.77 is: 5,272.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913 : 8,160.04 = 3,820.77 : x
  2. Step 2: Convert to fraction form
    5,913/8,160.04 = 3,820.77/x
  3. Step 3: Cross multiply
    5,913x = 8,160.04 × 3,820.77
  4. Step 4: Simplify right side
    5,913x = 31,177,640.81
  5. Step 5: Solve for x
    x = 31,177,640.81/5,913
  6. Step 6: Final answer
    x = 5,272.73

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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.