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Finding the Fourth Proportional to 5,617.09, 7,751.64 and 3,099.30

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Solution

The fourth proportional to 5,617.09, 7,751.64 and 3,099.30 is: 4,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.09 : 7,751.64 = 3,099.30 : x
  2. Step 2: Convert to fraction form
    5,617.09/7,751.64 = 3,099.30/x
  3. Step 3: Cross multiply
    5,617.09x = 7,751.64 × 3,099.30
  4. Step 4: Simplify right side
    5,617.09x = 24,024,640.41
  5. Step 5: Solve for x
    x = 24,024,640.41/5,617.09
  6. Step 6: Final answer
    x = 4,277.06

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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.