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Finding the Fourth Proportional to 6,542.47, 9,028.48 and 3,558.28

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Solution

The fourth proportional to 6,542.47, 9,028.48 and 3,558.28 is: 4,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.47 : 9,028.48 = 3,558.28 : x
  2. Step 2: Convert to fraction form
    6,542.47/9,028.48 = 3,558.28/x
  3. Step 3: Cross multiply
    6,542.47x = 9,028.48 × 3,558.28
  4. Step 4: Simplify right side
    6,542.47x = 32,125,859.81
  5. Step 5: Solve for x
    x = 32,125,859.81/6,542.47
  6. Step 6: Final answer
    x = 4,910.36

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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.