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Finding the Fourth Proportional to 3,808.06, 5,710.20 and 1,859.20

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Solution

The fourth proportional to 3,808.06, 5,710.20 and 1,859.20 is: 2,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.06 : 5,710.20 = 1,859.20 : x
  2. Step 2: Convert to fraction form
    3,808.06/5,710.20 = 1,859.20/x
  3. Step 3: Cross multiply
    3,808.06x = 5,710.20 × 1,859.20
  4. Step 4: Simplify right side
    3,808.06x = 10,616,403.84
  5. Step 5: Solve for x
    x = 10,616,403.84/3,808.06
  6. Step 6: Final answer
    x = 2,787.88

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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.