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Finding the Fourth Proportional to 4,536.06, 6,803.06 and 1,249.44

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Solution

The fourth proportional to 4,536.06, 6,803.06 and 1,249.44 is: 1,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.06 : 6,803.06 = 1,249.44 : x
  2. Step 2: Convert to fraction form
    4,536.06/6,803.06 = 1,249.44/x
  3. Step 3: Cross multiply
    4,536.06x = 6,803.06 × 1,249.44
  4. Step 4: Simplify right side
    4,536.06x = 8,500,009.04
  5. Step 5: Solve for x
    x = 8,500,009.04/4,536.06
  6. Step 6: Final answer
    x = 1,873.87

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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.