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Finding the Fourth Proportional to 4,200.41, 5,793.59 and 3,639.89

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Solution

The fourth proportional to 4,200.41, 5,793.59 and 3,639.89 is: 5,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.41 : 5,793.59 = 3,639.89 : x
  2. Step 2: Convert to fraction form
    4,200.41/5,793.59 = 3,639.89/x
  3. Step 3: Cross multiply
    4,200.41x = 5,793.59 × 3,639.89
  4. Step 4: Simplify right side
    4,200.41x = 21,088,053.89
  5. Step 5: Solve for x
    x = 21,088,053.89/4,200.41
  6. Step 6: Final answer
    x = 5,020.47

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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.