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Finding the Fourth Proportional to 6,542.85, 9,029.08 and 3,558.69

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Solution

The fourth proportional to 6,542.85, 9,029.08 and 3,558.69 is: 4,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.85 : 9,029.08 = 3,558.69 : x
  2. Step 2: Convert to fraction form
    6,542.85/9,029.08 = 3,558.69/x
  3. Step 3: Cross multiply
    6,542.85x = 9,029.08 × 3,558.69
  4. Step 4: Simplify right side
    6,542.85x = 32,131,696.71
  5. Step 5: Solve for x
    x = 32,131,696.71/6,542.85
  6. Step 6: Final answer
    x = 4,910.96

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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.