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Finding the Fourth Proportional to 3,885.53, 5,363.82 and 2,291.63

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Solution

The fourth proportional to 3,885.53, 5,363.82 and 2,291.63 is: 3,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.53 : 5,363.82 = 2,291.63 : x
  2. Step 2: Convert to fraction form
    3,885.53/5,363.82 = 2,291.63/x
  3. Step 3: Cross multiply
    3,885.53x = 5,363.82 × 2,291.63
  4. Step 4: Simplify right side
    3,885.53x = 12,291,904.24
  5. Step 5: Solve for x
    x = 12,291,904.24/3,885.53
  6. Step 6: Final answer
    x = 3,163.51

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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.