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Finding the Fourth Proportional to 3,809.84, 5,710.70 and 1,617.44

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Solution

The fourth proportional to 3,809.84, 5,710.70 and 1,617.44 is: 2,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.84 : 5,710.70 = 1,617.44 : x
  2. Step 2: Convert to fraction form
    3,809.84/5,710.70 = 1,617.44/x
  3. Step 3: Cross multiply
    3,809.84x = 5,710.70 × 1,617.44
  4. Step 4: Simplify right side
    3,809.84x = 9,236,690.10
  5. Step 5: Solve for x
    x = 9,236,690.10/3,809.84
  6. Step 6: Final answer
    x = 2,424.43

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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.