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Finding the Fourth Proportional to 4,658.62, 6,429.32 and 2,867.25

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Solution

The fourth proportional to 4,658.62, 6,429.32 and 2,867.25 is: 3,957.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.62 : 6,429.32 = 2,867.25 : x
  2. Step 2: Convert to fraction form
    4,658.62/6,429.32 = 2,867.25/x
  3. Step 3: Cross multiply
    4,658.62x = 6,429.32 × 2,867.25
  4. Step 4: Simplify right side
    4,658.62x = 18,434,467.77
  5. Step 5: Solve for x
    x = 18,434,467.77/4,658.62
  6. Step 6: Final answer
    x = 3,957.07

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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.