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Finding the Fourth Proportional to 5,876.39, 8,109.57 and 3,323.94

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Solution

The fourth proportional to 5,876.39, 8,109.57 and 3,323.94 is: 4,587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.39 : 8,109.57 = 3,323.94 : x
  2. Step 2: Convert to fraction form
    5,876.39/8,109.57 = 3,323.94/x
  3. Step 3: Cross multiply
    5,876.39x = 8,109.57 × 3,323.94
  4. Step 4: Simplify right side
    5,876.39x = 26,955,724.11
  5. Step 5: Solve for x
    x = 26,955,724.11/5,876.39
  6. Step 6: Final answer
    x = 4,587.12

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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.