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Finding the Fourth Proportional to 5,439.86, 7,507.08 and 3,201.74

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Solution

The fourth proportional to 5,439.86, 7,507.08 and 3,201.74 is: 4,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439.86 : 7,507.08 = 3,201.74 : x
  2. Step 2: Convert to fraction form
    5,439.86/7,507.08 = 3,201.74/x
  3. Step 3: Cross multiply
    5,439.86x = 7,507.08 × 3,201.74
  4. Step 4: Simplify right side
    5,439.86x = 24,035,718.32
  5. Step 5: Solve for x
    x = 24,035,718.32/5,439.86
  6. Step 6: Final answer
    x = 4,418.44

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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.