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Finding the Fourth Proportional to 4,168.86, 5,753.62 and 2,400.42

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Solution

The fourth proportional to 4,168.86, 5,753.62 and 2,400.42 is: 3,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.86 : 5,753.62 = 2,400.42 : x
  2. Step 2: Convert to fraction form
    4,168.86/5,753.62 = 2,400.42/x
  3. Step 3: Cross multiply
    4,168.86x = 5,753.62 × 2,400.42
  4. Step 4: Simplify right side
    4,168.86x = 13,811,104.52
  5. Step 5: Solve for x
    x = 13,811,104.52/4,168.86
  6. Step 6: Final answer
    x = 3,312.92

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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.