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Finding the Fourth Proportional to 5,758.50, 8,639.79 and 2,838.87

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Solution

The fourth proportional to 5,758.50, 8,639.79 and 2,838.87 is: 4,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.50 : 8,639.79 = 2,838.87 : x
  2. Step 2: Convert to fraction form
    5,758.50/8,639.79 = 2,838.87/x
  3. Step 3: Cross multiply
    5,758.50x = 8,639.79 × 2,838.87
  4. Step 4: Simplify right side
    5,758.50x = 24,527,240.64
  5. Step 5: Solve for x
    x = 24,527,240.64/5,758.50
  6. Step 6: Final answer
    x = 4,259.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.