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Finding the Fourth Proportional to 5,851.98, 8,091.28 and 5,113.86

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Solution

The fourth proportional to 5,851.98, 8,091.28 and 5,113.86 is: 7,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.98 : 8,091.28 = 5,113.86 : x
  2. Step 2: Convert to fraction form
    5,851.98/8,091.28 = 5,113.86/x
  3. Step 3: Cross multiply
    5,851.98x = 8,091.28 × 5,113.86
  4. Step 4: Simplify right side
    5,851.98x = 41,377,673.14
  5. Step 5: Solve for x
    x = 41,377,673.14/5,851.98
  6. Step 6: Final answer
    x = 7,070.71

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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.