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Finding the Fourth Proportional to 4,564.72, 6,842.22 and 2,612.80

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Solution

The fourth proportional to 4,564.72, 6,842.22 and 2,612.80 is: 3,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.72 : 6,842.22 = 2,612.80 : x
  2. Step 2: Convert to fraction form
    4,564.72/6,842.22 = 2,612.80/x
  3. Step 3: Cross multiply
    4,564.72x = 6,842.22 × 2,612.80
  4. Step 4: Simplify right side
    4,564.72x = 17,877,352.42
  5. Step 5: Solve for x
    x = 17,877,352.42/4,564.72
  6. Step 6: Final answer
    x = 3,916.42

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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.