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Finding the Fourth Proportional to 4,969.68, 7,453.04 and 3,578.82

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Solution

The fourth proportional to 4,969.68, 7,453.04 and 3,578.82 is: 5,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.68 : 7,453.04 = 3,578.82 : x
  2. Step 2: Convert to fraction form
    4,969.68/7,453.04 = 3,578.82/x
  3. Step 3: Cross multiply
    4,969.68x = 7,453.04 × 3,578.82
  4. Step 4: Simplify right side
    4,969.68x = 26,673,070.72
  5. Step 5: Solve for x
    x = 26,673,070.72/4,969.68
  6. Step 6: Final answer
    x = 5,367.16

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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.