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Finding the Fourth Proportional to 4,549.20, 6,811.20 and 4,204.68

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Solution

The fourth proportional to 4,549.20, 6,811.20 and 4,204.68 is: 6,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.20 : 6,811.20 = 4,204.68 : x
  2. Step 2: Convert to fraction form
    4,549.20/6,811.20 = 4,204.68/x
  3. Step 3: Cross multiply
    4,549.20x = 6,811.20 × 4,204.68
  4. Step 4: Simplify right side
    4,549.20x = 28,638,916.42
  5. Step 5: Solve for x
    x = 28,638,916.42/4,549.20
  6. Step 6: Final answer
    x = 6,295.37

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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.