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Finding the Fourth Proportional to 3,722.86, 5,124.66 and 3,218.48

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Solution

The fourth proportional to 3,722.86, 5,124.66 and 3,218.48 is: 4,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.86 : 5,124.66 = 3,218.48 : x
  2. Step 2: Convert to fraction form
    3,722.86/5,124.66 = 3,218.48/x
  3. Step 3: Cross multiply
    3,722.86x = 5,124.66 × 3,218.48
  4. Step 4: Simplify right side
    3,722.86x = 16,493,615.72
  5. Step 5: Solve for x
    x = 16,493,615.72/3,722.86
  6. Step 6: Final answer
    x = 4,430.36

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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.