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Finding the Fourth Proportional to 6,542.49, 9,028.60 and 3,710.41

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Solution

The fourth proportional to 6,542.49, 9,028.60 and 3,710.41 is: 5,120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.49 : 9,028.60 = 3,710.41 : x
  2. Step 2: Convert to fraction form
    6,542.49/9,028.60 = 3,710.41/x
  3. Step 3: Cross multiply
    6,542.49x = 9,028.60 × 3,710.41
  4. Step 4: Simplify right side
    6,542.49x = 33,499,807.73
  5. Step 5: Solve for x
    x = 33,499,807.73/6,542.49
  6. Step 6: Final answer
    x = 5,120.35

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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.