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Finding the Fourth Proportional to 4,041, 5,578.02 and 2,385

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Solution

The fourth proportional to 4,041, 5,578.02 and 2,385 is: 3,292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,041 : 5,578.02 = 2,385 : x
  2. Step 2: Convert to fraction form
    4,041/5,578.02 = 2,385/x
  3. Step 3: Cross multiply
    4,041x = 5,578.02 × 2,385
  4. Step 4: Simplify right side
    4,041x = 13,303,577.70
  5. Step 5: Solve for x
    x = 13,303,577.70/4,041
  6. Step 6: Final answer
    x = 3,292.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.