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Finding the Fourth Proportional to 4,650.86, 6,419.13 and 2,857.52

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Solution

The fourth proportional to 4,650.86, 6,419.13 and 2,857.52 is: 3,943.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.86 : 6,419.13 = 2,857.52 : x
  2. Step 2: Convert to fraction form
    4,650.86/6,419.13 = 2,857.52/x
  3. Step 3: Cross multiply
    4,650.86x = 6,419.13 × 2,857.52
  4. Step 4: Simplify right side
    4,650.86x = 18,342,792.36
  5. Step 5: Solve for x
    x = 18,342,792.36/4,650.86
  6. Step 6: Final answer
    x = 3,943.96

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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.