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Finding the Fourth Proportional to 6,542.93, 9,029.39 and 3,558.92

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Solution

The fourth proportional to 6,542.93, 9,029.39 and 3,558.92 is: 4,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.93 : 9,029.39 = 3,558.92 : x
  2. Step 2: Convert to fraction form
    6,542.93/9,029.39 = 3,558.92/x
  3. Step 3: Cross multiply
    6,542.93x = 9,029.39 × 3,558.92
  4. Step 4: Simplify right side
    6,542.93x = 32,134,813.72
  5. Step 5: Solve for x
    x = 32,134,813.72/6,542.93
  6. Step 6: Final answer
    x = 4,911.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.