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Finding the Fourth Proportional to 4,549.86, 6,772.14 and 4,447.80

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Solution

The fourth proportional to 4,549.86, 6,772.14 and 4,447.80 is: 6,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.86 : 6,772.14 = 4,447.80 : x
  2. Step 2: Convert to fraction form
    4,549.86/6,772.14 = 4,447.80/x
  3. Step 3: Cross multiply
    4,549.86x = 6,772.14 × 4,447.80
  4. Step 4: Simplify right side
    4,549.86x = 30,121,124.29
  5. Step 5: Solve for x
    x = 30,121,124.29/4,549.86
  6. Step 6: Final answer
    x = 6,620.23

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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.