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Finding the Fourth Proportional to 3,893.29, 5,840.71 and 1,428.13

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Solution

The fourth proportional to 3,893.29, 5,840.71 and 1,428.13 is: 2,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.29 : 5,840.71 = 1,428.13 : x
  2. Step 2: Convert to fraction form
    3,893.29/5,840.71 = 1,428.13/x
  3. Step 3: Cross multiply
    3,893.29x = 5,840.71 × 1,428.13
  4. Step 4: Simplify right side
    3,893.29x = 8,341,315.34
  5. Step 5: Solve for x
    x = 8,341,315.34/3,893.29
  6. Step 6: Final answer
    x = 2,142.48

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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.