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Finding the Fourth Proportional to 4,507.72, 6,762.38 and 2,042.44

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Solution

The fourth proportional to 4,507.72, 6,762.38 and 2,042.44 is: 3,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.72 : 6,762.38 = 2,042.44 : x
  2. Step 2: Convert to fraction form
    4,507.72/6,762.38 = 2,042.44/x
  3. Step 3: Cross multiply
    4,507.72x = 6,762.38 × 2,042.44
  4. Step 4: Simplify right side
    4,507.72x = 13,811,755.41
  5. Step 5: Solve for x
    x = 13,811,755.41/4,507.72
  6. Step 6: Final answer
    x = 3,064.02

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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.