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Finding the Fourth Proportional to 6,542.64, 9,028.59 and 3,558.47

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Solution

The fourth proportional to 6,542.64, 9,028.59 and 3,558.47 is: 4,910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.64 : 9,028.59 = 3,558.47 : x
  2. Step 2: Convert to fraction form
    6,542.64/9,028.59 = 3,558.47/x
  3. Step 3: Cross multiply
    6,542.64x = 9,028.59 × 3,558.47
  4. Step 4: Simplify right side
    6,542.64x = 32,127,948.86
  5. Step 5: Solve for x
    x = 32,127,948.86/6,542.64
  6. Step 6: Final answer
    x = 4,910.55

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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.