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Finding the Fourth Proportional to 5,891.36, 8,138.76 and 4,640.72

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Solution

The fourth proportional to 5,891.36, 8,138.76 and 4,640.72 is: 6,411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.36 : 8,138.76 = 4,640.72 : x
  2. Step 2: Convert to fraction form
    5,891.36/8,138.76 = 4,640.72/x
  3. Step 3: Cross multiply
    5,891.36x = 8,138.76 × 4,640.72
  4. Step 4: Simplify right side
    5,891.36x = 37,769,706.31
  5. Step 5: Solve for x
    x = 37,769,706.31/5,891.36
  6. Step 6: Final answer
    x = 6,411.03

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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.