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Finding the Fourth Proportional to 5,891.91, 8,128.13 and 5,220.40

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Solution

The fourth proportional to 5,891.91, 8,128.13 and 5,220.40 is: 7,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.91 : 8,128.13 = 5,220.40 : x
  2. Step 2: Convert to fraction form
    5,891.91/8,128.13 = 5,220.40/x
  3. Step 3: Cross multiply
    5,891.91x = 8,128.13 × 5,220.40
  4. Step 4: Simplify right side
    5,891.91x = 42,432,089.85
  5. Step 5: Solve for x
    x = 42,432,089.85/5,891.91
  6. Step 6: Final answer
    x = 7,201.75

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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.