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Finding the Fourth Proportional to 3,798.16, 5,693.85 and 2,044.11

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Solution

The fourth proportional to 3,798.16, 5,693.85 and 2,044.11 is: 3,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.16 : 5,693.85 = 2,044.11 : x
  2. Step 2: Convert to fraction form
    3,798.16/5,693.85 = 2,044.11/x
  3. Step 3: Cross multiply
    3,798.16x = 5,693.85 × 2,044.11
  4. Step 4: Simplify right side
    3,798.16x = 11,638,855.72
  5. Step 5: Solve for x
    x = 11,638,855.72/3,798.16
  6. Step 6: Final answer
    x = 3,064.34

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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.