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Finding the Fourth Proportional to 3,842.51, 5,302.22 and 2,163.87

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Solution

The fourth proportional to 3,842.51, 5,302.22 and 2,163.87 is: 2,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.51 : 5,302.22 = 2,163.87 : x
  2. Step 2: Convert to fraction form
    3,842.51/5,302.22 = 2,163.87/x
  3. Step 3: Cross multiply
    3,842.51x = 5,302.22 × 2,163.87
  4. Step 4: Simplify right side
    3,842.51x = 11,473,320.20
  5. Step 5: Solve for x
    x = 11,473,320.20/3,842.51
  6. Step 6: Final answer
    x = 2,985.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.