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Finding the Fourth Proportional to 6,542.34, 9,028.53 and 3,558.30

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Solution

The fourth proportional to 6,542.34, 9,028.53 and 3,558.30 is: 4,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.34 : 9,028.53 = 3,558.30 : x
  2. Step 2: Convert to fraction form
    6,542.34/9,028.53 = 3,558.30/x
  3. Step 3: Cross multiply
    6,542.34x = 9,028.53 × 3,558.30
  4. Step 4: Simplify right side
    6,542.34x = 32,126,218.30
  5. Step 5: Solve for x
    x = 32,126,218.30/6,542.34
  6. Step 6: Final answer
    x = 4,910.51

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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.