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Finding the Fourth Proportional to 5,107.50, 7,658.72 and 2,999.65

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Solution

The fourth proportional to 5,107.50, 7,658.72 and 2,999.65 is: 4,497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.50 : 7,658.72 = 2,999.65 : x
  2. Step 2: Convert to fraction form
    5,107.50/7,658.72 = 2,999.65/x
  3. Step 3: Cross multiply
    5,107.50x = 7,658.72 × 2,999.65
  4. Step 4: Simplify right side
    5,107.50x = 22,973,479.45
  5. Step 5: Solve for x
    x = 22,973,479.45/5,107.50
  6. Step 6: Final answer
    x = 4,497.99

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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.