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Finding the Fourth Proportional to 5,149.77, 7,106.16 and 3,160.41

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Solution

The fourth proportional to 5,149.77, 7,106.16 and 3,160.41 is: 4,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.77 : 7,106.16 = 3,160.41 : x
  2. Step 2: Convert to fraction form
    5,149.77/7,106.16 = 3,160.41/x
  3. Step 3: Cross multiply
    5,149.77x = 7,106.16 × 3,160.41
  4. Step 4: Simplify right side
    5,149.77x = 22,458,379.13
  5. Step 5: Solve for x
    x = 22,458,379.13/5,149.77
  6. Step 6: Final answer
    x = 4,361.05

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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.