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Finding the Fourth Proportional to 4,468.14, 6,165.14 and 2,699.84

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Solution

The fourth proportional to 4,468.14, 6,165.14 and 2,699.84 is: 3,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.14 : 6,165.14 = 2,699.84 : x
  2. Step 2: Convert to fraction form
    4,468.14/6,165.14 = 2,699.84/x
  3. Step 3: Cross multiply
    4,468.14x = 6,165.14 × 2,699.84
  4. Step 4: Simplify right side
    4,468.14x = 16,644,893.49
  5. Step 5: Solve for x
    x = 16,644,893.49/4,468.14
  6. Step 6: Final answer
    x = 3,725.24

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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.