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Finding the Fourth Proportional to 4,764.88, 7,143.49 and 2,264.81

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Solution

The fourth proportional to 4,764.88, 7,143.49 and 2,264.81 is: 3,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.88 : 7,143.49 = 2,264.81 : x
  2. Step 2: Convert to fraction form
    4,764.88/7,143.49 = 2,264.81/x
  3. Step 3: Cross multiply
    4,764.88x = 7,143.49 × 2,264.81
  4. Step 4: Simplify right side
    4,764.88x = 16,178,611.87
  5. Step 5: Solve for x
    x = 16,178,611.87/4,764.88
  6. Step 6: Final answer
    x = 3,395.39

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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.