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Finding the Fourth Proportional to 6,542.85, 9,028.94 and 3,710.50

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Solution

The fourth proportional to 6,542.85, 9,028.94 and 3,710.50 is: 5,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.85 : 9,028.94 = 3,710.50 : x
  2. Step 2: Convert to fraction form
    6,542.85/9,028.94 = 3,710.50/x
  3. Step 3: Cross multiply
    6,542.85x = 9,028.94 × 3,710.50
  4. Step 4: Simplify right side
    6,542.85x = 33,501,840.75
  5. Step 5: Solve for x
    x = 33,501,840.75/6,542.85
  6. Step 6: Final answer
    x = 5,120.37

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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.