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Finding the Fourth Proportional to 4,009.66, 6,014.49 and 1,787.92

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Solution

The fourth proportional to 4,009.66, 6,014.49 and 1,787.92 is: 2,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.66 : 6,014.49 = 1,787.92 : x
  2. Step 2: Convert to fraction form
    4,009.66/6,014.49 = 1,787.92/x
  3. Step 3: Cross multiply
    4,009.66x = 6,014.49 × 1,787.92
  4. Step 4: Simplify right side
    4,009.66x = 10,753,422.49
  5. Step 5: Solve for x
    x = 10,753,422.49/4,009.66
  6. Step 6: Final answer
    x = 2,681.88

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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.