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Finding the Fourth Proportional to 5,876.35, 8,109.43 and 3,223.70

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Solution

The fourth proportional to 5,876.35, 8,109.43 and 3,223.70 is: 4,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.35 : 8,109.43 = 3,223.70 : x
  2. Step 2: Convert to fraction form
    5,876.35/8,109.43 = 3,223.70/x
  3. Step 3: Cross multiply
    5,876.35x = 8,109.43 × 3,223.70
  4. Step 4: Simplify right side
    5,876.35x = 26,142,369.49
  5. Step 5: Solve for x
    x = 26,142,369.49/5,876.35
  6. Step 6: Final answer
    x = 4,448.74

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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.