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Finding the Fourth Proportional to 5,243.78, 7,233.18 and 3,117.86

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Solution

The fourth proportional to 5,243.78, 7,233.18 and 3,117.86 is: 4,300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.78 : 7,233.18 = 3,117.86 : x
  2. Step 2: Convert to fraction form
    5,243.78/7,233.18 = 3,117.86/x
  3. Step 3: Cross multiply
    5,243.78x = 7,233.18 × 3,117.86
  4. Step 4: Simplify right side
    5,243.78x = 22,552,042.59
  5. Step 5: Solve for x
    x = 22,552,042.59/5,243.78
  6. Step 6: Final answer
    x = 4,300.72

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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.