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Finding the Fourth Proportional to 5,617.37, 7,751.64 and 3,099.49

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Solution

The fourth proportional to 5,617.37, 7,751.64 and 3,099.49 is: 4,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.37 : 7,751.64 = 3,099.49 : x
  2. Step 2: Convert to fraction form
    5,617.37/7,751.64 = 3,099.49/x
  3. Step 3: Cross multiply
    5,617.37x = 7,751.64 × 3,099.49
  4. Step 4: Simplify right side
    5,617.37x = 24,026,130.66
  5. Step 5: Solve for x
    x = 24,026,130.66/5,617.37
  6. Step 6: Final answer
    x = 4,277.11

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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.