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Finding the Fourth Proportional to 5,841.42, 8,061.63 and 3,323.64

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Solution

The fourth proportional to 5,841.42, 8,061.63 and 3,323.64 is: 4,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.42 : 8,061.63 = 3,323.64 : x
  2. Step 2: Convert to fraction form
    5,841.42/8,061.63 = 3,323.64/x
  3. Step 3: Cross multiply
    5,841.42x = 8,061.63 × 3,323.64
  4. Step 4: Simplify right side
    5,841.42x = 26,793,951.03
  5. Step 5: Solve for x
    x = 26,793,951.03/5,841.42
  6. Step 6: Final answer
    x = 4,586.89

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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.