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Finding the Fourth Proportional to 4,550.41, 6,789.92 and 4,271.77

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Solution

The fourth proportional to 4,550.41, 6,789.92 and 4,271.77 is: 6,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.41 : 6,789.92 = 4,271.77 : x
  2. Step 2: Convert to fraction form
    4,550.41/6,789.92 = 4,271.77/x
  3. Step 3: Cross multiply
    4,550.41x = 6,789.92 × 4,271.77
  4. Step 4: Simplify right side
    4,550.41x = 29,004,970.26
  5. Step 5: Solve for x
    x = 29,004,970.26/4,550.41
  6. Step 6: Final answer
    x = 6,374.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.