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Finding the Fourth Proportional to 5,616.86, 7,751.30 and 3,098.93

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Solution

The fourth proportional to 5,616.86, 7,751.30 and 3,098.93 is: 4,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.86 : 7,751.30 = 3,098.93 : x
  2. Step 2: Convert to fraction form
    5,616.86/7,751.30 = 3,098.93/x
  3. Step 3: Cross multiply
    5,616.86x = 7,751.30 × 3,098.93
  4. Step 4: Simplify right side
    5,616.86x = 24,020,736.11
  5. Step 5: Solve for x
    x = 24,020,736.11/5,616.86
  6. Step 6: Final answer
    x = 4,276.54

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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.