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Finding the Fourth Proportional to 5,314.91, 7,335.83 and 3,218.63

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Solution

The fourth proportional to 5,314.91, 7,335.83 and 3,218.63 is: 4,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.91 : 7,335.83 = 3,218.63 : x
  2. Step 2: Convert to fraction form
    5,314.91/7,335.83 = 3,218.63/x
  3. Step 3: Cross multiply
    5,314.91x = 7,335.83 × 3,218.63
  4. Step 4: Simplify right side
    5,314.91x = 23,611,293.88
  5. Step 5: Solve for x
    x = 23,611,293.88/5,314.91
  6. Step 6: Final answer
    x = 4,442.47

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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.