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Finding the Fourth Proportional to 5,453, 7,525.22 and 2,969

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Solution

The fourth proportional to 5,453, 7,525.22 and 2,969 is: 4,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453 : 7,525.22 = 2,969 : x
  2. Step 2: Convert to fraction form
    5,453/7,525.22 = 2,969/x
  3. Step 3: Cross multiply
    5,453x = 7,525.22 × 2,969
  4. Step 4: Simplify right side
    5,453x = 22,342,378.18
  5. Step 5: Solve for x
    x = 22,342,378.18/5,453
  6. Step 6: Final answer
    x = 4,097.26

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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.