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Finding the Fourth Proportional to 2,615.48, 3,617.37 and 2,571.74

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Solution

The fourth proportional to 2,615.48, 3,617.37 and 2,571.74 is: 3,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.48 : 3,617.37 = 2,571.74 : x
  2. Step 2: Convert to fraction form
    2,615.48/3,617.37 = 2,571.74/x
  3. Step 3: Cross multiply
    2,615.48x = 3,617.37 × 2,571.74
  4. Step 4: Simplify right side
    2,615.48x = 9,302,935.12
  5. Step 5: Solve for x
    x = 9,302,935.12/2,615.48
  6. Step 6: Final answer
    x = 3,556.87

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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.