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Finding the Fourth Proportional to 3,817.84, 5,267.28 and 2,400.88

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Solution

The fourth proportional to 3,817.84, 5,267.28 and 2,400.88 is: 3,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.84 : 5,267.28 = 2,400.88 : x
  2. Step 2: Convert to fraction form
    3,817.84/5,267.28 = 2,400.88/x
  3. Step 3: Cross multiply
    3,817.84x = 5,267.28 × 2,400.88
  4. Step 4: Simplify right side
    3,817.84x = 12,646,107.21
  5. Step 5: Solve for x
    x = 12,646,107.21/3,817.84
  6. Step 6: Final answer
    x = 3,312.37

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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.