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Finding the Fourth Proportional to 3,820.91, 5,264.96 and 3,071.87

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Solution

The fourth proportional to 3,820.91, 5,264.96 and 3,071.87 is: 4,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.91 : 5,264.96 = 3,071.87 : x
  2. Step 2: Convert to fraction form
    3,820.91/5,264.96 = 3,071.87/x
  3. Step 3: Cross multiply
    3,820.91x = 5,264.96 × 3,071.87
  4. Step 4: Simplify right side
    3,820.91x = 16,173,230.99
  5. Step 5: Solve for x
    x = 16,173,230.99/3,820.91
  6. Step 6: Final answer
    x = 4,232.82

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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.