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Finding the Fourth Proportional to 4,193.07, 6,289.29 and 2,549.22

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Solution

The fourth proportional to 4,193.07, 6,289.29 and 2,549.22 is: 3,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.07 : 6,289.29 = 2,549.22 : x
  2. Step 2: Convert to fraction form
    4,193.07/6,289.29 = 2,549.22/x
  3. Step 3: Cross multiply
    4,193.07x = 6,289.29 × 2,549.22
  4. Step 4: Simplify right side
    4,193.07x = 16,032,783.85
  5. Step 5: Solve for x
    x = 16,032,783.85/4,193.07
  6. Step 6: Final answer
    x = 3,823.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.