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Finding the Fourth Proportional to 5,121.54, 7,684.29 and 4,143.48

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Solution

The fourth proportional to 5,121.54, 7,684.29 and 4,143.48 is: 6,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.54 : 7,684.29 = 4,143.48 : x
  2. Step 2: Convert to fraction form
    5,121.54/7,684.29 = 4,143.48/x
  3. Step 3: Cross multiply
    5,121.54x = 7,684.29 × 4,143.48
  4. Step 4: Simplify right side
    5,121.54x = 31,839,701.93
  5. Step 5: Solve for x
    x = 31,839,701.93/5,121.54
  6. Step 6: Final answer
    x = 6,216.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.