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Finding the Fourth Proportional to 4,143, 6,177.93 and 3,841.68

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Solution

The fourth proportional to 4,143, 6,177.93 and 3,841.68 is: 5,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143 : 6,177.93 = 3,841.68 : x
  2. Step 2: Convert to fraction form
    4,143/6,177.93 = 3,841.68/x
  3. Step 3: Cross multiply
    4,143x = 6,177.93 × 3,841.68
  4. Step 4: Simplify right side
    4,143x = 23,733,630.12
  5. Step 5: Solve for x
    x = 23,733,630.12/4,143
  6. Step 6: Final answer
    x = 5,728.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.