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Finding the Fourth Proportional to 5,431.66, 7,499.49 and 3,415.97

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Solution

The fourth proportional to 5,431.66, 7,499.49 and 3,415.97 is: 4,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.66 : 7,499.49 = 3,415.97 : x
  2. Step 2: Convert to fraction form
    5,431.66/7,499.49 = 3,415.97/x
  3. Step 3: Cross multiply
    5,431.66x = 7,499.49 × 3,415.97
  4. Step 4: Simplify right side
    5,431.66x = 25,618,038.79
  5. Step 5: Solve for x
    x = 25,618,038.79/5,431.66
  6. Step 6: Final answer
    x = 4,716.43

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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.