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Finding the Fourth Proportional to 3,827.33, 5,741.03 and 1,363.91

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Solution

The fourth proportional to 3,827.33, 5,741.03 and 1,363.91 is: 2,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.33 : 5,741.03 = 1,363.91 : x
  2. Step 2: Convert to fraction form
    3,827.33/5,741.03 = 1,363.91/x
  3. Step 3: Cross multiply
    3,827.33x = 5,741.03 × 1,363.91
  4. Step 4: Simplify right side
    3,827.33x = 7,830,263.70
  5. Step 5: Solve for x
    x = 7,830,263.70/3,827.33
  6. Step 6: Final answer
    x = 2,045.88

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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.