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Finding the Fourth Proportional to 4,658.65, 6,991.48 and 2,467.87

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Solution

The fourth proportional to 4,658.65, 6,991.48 and 2,467.87 is: 3,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.65 : 6,991.48 = 2,467.87 : x
  2. Step 2: Convert to fraction form
    4,658.65/6,991.48 = 2,467.87/x
  3. Step 3: Cross multiply
    4,658.65x = 6,991.48 × 2,467.87
  4. Step 4: Simplify right side
    4,658.65x = 17,254,063.75
  5. Step 5: Solve for x
    x = 17,254,063.75/4,658.65
  6. Step 6: Final answer
    x = 3,703.66

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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.