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Finding the Fourth Proportional to 4,027.66, 6,042.66 and 1,806.00

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Solution

The fourth proportional to 4,027.66, 6,042.66 and 1,806.00 is: 2,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027.66 : 6,042.66 = 1,806.00 : x
  2. Step 2: Convert to fraction form
    4,027.66/6,042.66 = 1,806.00/x
  3. Step 3: Cross multiply
    4,027.66x = 6,042.66 × 1,806.00
  4. Step 4: Simplify right side
    4,027.66x = 10,913,014.53
  5. Step 5: Solve for x
    x = 10,913,014.53/4,027.66
  6. Step 6: Final answer
    x = 2,709.52

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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.