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Finding the Fourth Proportional to 3,843.75, 5,767.81 and 1,503.94

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Solution

The fourth proportional to 3,843.75, 5,767.81 and 1,503.94 is: 2,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.75 : 5,767.81 = 1,503.94 : x
  2. Step 2: Convert to fraction form
    3,843.75/5,767.81 = 1,503.94/x
  3. Step 3: Cross multiply
    3,843.75x = 5,767.81 × 1,503.94
  4. Step 4: Simplify right side
    3,843.75x = 8,674,440.17
  5. Step 5: Solve for x
    x = 8,674,440.17/3,843.75
  6. Step 6: Final answer
    x = 2,256.77

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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.