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Finding the Fourth Proportional to 5,629.12, 7,763.52 and 4,236.16

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Solution

The fourth proportional to 5,629.12, 7,763.52 and 4,236.16 is: 5,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.12 : 7,763.52 = 4,236.16 : x
  2. Step 2: Convert to fraction form
    5,629.12/7,763.52 = 4,236.16/x
  3. Step 3: Cross multiply
    5,629.12x = 7,763.52 × 4,236.16
  4. Step 4: Simplify right side
    5,629.12x = 32,887,512.88
  5. Step 5: Solve for x
    x = 32,887,512.88/5,629.12
  6. Step 6: Final answer
    x = 5,842.39

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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.