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Finding the Fourth Proportional to 5,612.88, 7,746.09 and 3,222.83

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Solution

The fourth proportional to 5,612.88, 7,746.09 and 3,222.83 is: 4,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.88 : 7,746.09 = 3,222.83 : x
  2. Step 2: Convert to fraction form
    5,612.88/7,746.09 = 3,222.83/x
  3. Step 3: Cross multiply
    5,612.88x = 7,746.09 × 3,222.83
  4. Step 4: Simplify right side
    5,612.88x = 24,964,331.23
  5. Step 5: Solve for x
    x = 24,964,331.23/5,612.88
  6. Step 6: Final answer
    x = 4,447.69

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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.