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Finding the Fourth Proportional to 3,442.15, 5,157.15 and 2,824.93

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Solution

The fourth proportional to 3,442.15, 5,157.15 and 2,824.93 is: 4,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.15 : 5,157.15 = 2,824.93 : x
  2. Step 2: Convert to fraction form
    3,442.15/5,157.15 = 2,824.93/x
  3. Step 3: Cross multiply
    3,442.15x = 5,157.15 × 2,824.93
  4. Step 4: Simplify right side
    3,442.15x = 14,568,587.75
  5. Step 5: Solve for x
    x = 14,568,587.75/3,442.15
  6. Step 6: Final answer
    x = 4,232.41

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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.