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Finding the Fourth Proportional to 4,829.88, 6,661.80 and 4,432.83

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Solution

The fourth proportional to 4,829.88, 6,661.80 and 4,432.83 is: 6,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.88 : 6,661.80 = 4,432.83 : x
  2. Step 2: Convert to fraction form
    4,829.88/6,661.80 = 4,432.83/x
  3. Step 3: Cross multiply
    4,829.88x = 6,661.80 × 4,432.83
  4. Step 4: Simplify right side
    4,829.88x = 29,530,604.73
  5. Step 5: Solve for x
    x = 29,530,604.73/4,829.88
  6. Step 6: Final answer
    x = 6,114.15

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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.