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Finding the Fourth Proportional to 4,764.09, 7,147.22 and 1,803.81

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Solution

The fourth proportional to 4,764.09, 7,147.22 and 1,803.81 is: 2,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.09 : 7,147.22 = 1,803.81 : x
  2. Step 2: Convert to fraction form
    4,764.09/7,147.22 = 1,803.81/x
  3. Step 3: Cross multiply
    4,764.09x = 7,147.22 × 1,803.81
  4. Step 4: Simplify right side
    4,764.09x = 12,892,217.89
  5. Step 5: Solve for x
    x = 12,892,217.89/4,764.09
  6. Step 6: Final answer
    x = 2,706.12

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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.