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Finding the Fourth Proportional to 6,429.01, 8,872 and 3,596.38

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Solution

The fourth proportional to 6,429.01, 8,872 and 3,596.38 is: 4,962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.01 : 8,872 = 3,596.38 : x
  2. Step 2: Convert to fraction form
    6,429.01/8,872 = 3,596.38/x
  3. Step 3: Cross multiply
    6,429.01x = 8,872 × 3,596.38
  4. Step 4: Simplify right side
    6,429.01x = 31,907,083.36
  5. Step 5: Solve for x
    x = 31,907,083.36/6,429.01
  6. Step 6: Final answer
    x = 4,962.99

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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.