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Finding the Fourth Proportional to 4,072.59, 5,615.24 and 3,442

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Solution

The fourth proportional to 4,072.59, 5,615.24 and 3,442 is: 4,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.59 : 5,615.24 = 3,442 : x
  2. Step 2: Convert to fraction form
    4,072.59/5,615.24 = 3,442/x
  3. Step 3: Cross multiply
    4,072.59x = 5,615.24 × 3,442
  4. Step 4: Simplify right side
    4,072.59x = 19,327,656.08
  5. Step 5: Solve for x
    x = 19,327,656.08/4,072.59
  6. Step 6: Final answer
    x = 4,745.79

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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.