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Finding the Fourth Proportional to 6,129.69, 8,458.40 and 4,142.93

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Solution

The fourth proportional to 6,129.69, 8,458.40 and 4,142.93 is: 5,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.69 : 8,458.40 = 4,142.93 : x
  2. Step 2: Convert to fraction form
    6,129.69/8,458.40 = 4,142.93/x
  3. Step 3: Cross multiply
    6,129.69x = 8,458.40 × 4,142.93
  4. Step 4: Simplify right side
    6,129.69x = 35,042,496.11
  5. Step 5: Solve for x
    x = 35,042,496.11/6,129.69
  6. Step 6: Final answer
    x = 5,716.85

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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.