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Finding the Fourth Proportional to 5,899.65, 8,138.79 and 3,537.69

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Solution

The fourth proportional to 5,899.65, 8,138.79 and 3,537.69 is: 4,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.65 : 8,138.79 = 3,537.69 : x
  2. Step 2: Convert to fraction form
    5,899.65/8,138.79 = 3,537.69/x
  3. Step 3: Cross multiply
    5,899.65x = 8,138.79 × 3,537.69
  4. Step 4: Simplify right side
    5,899.65x = 28,792,516.00
  5. Step 5: Solve for x
    x = 28,792,516.00/5,899.65
  6. Step 6: Final answer
    x = 4,880.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.