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Finding the Fourth Proportional to 5,542.63, 8,270.34 and 5,354.71

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Solution

The fourth proportional to 5,542.63, 8,270.34 and 5,354.71 is: 7,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.63 : 8,270.34 = 5,354.71 : x
  2. Step 2: Convert to fraction form
    5,542.63/8,270.34 = 5,354.71/x
  3. Step 3: Cross multiply
    5,542.63x = 8,270.34 × 5,354.71
  4. Step 4: Simplify right side
    5,542.63x = 44,285,258.91
  5. Step 5: Solve for x
    x = 44,285,258.91/5,542.63
  6. Step 6: Final answer
    x = 7,989.94

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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.