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Finding the Fourth Proportional to 6,259.32, 8,636.40 and 3,742.24

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Solution

The fourth proportional to 6,259.32, 8,636.40 and 3,742.24 is: 5,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.32 : 8,636.40 = 3,742.24 : x
  2. Step 2: Convert to fraction form
    6,259.32/8,636.40 = 3,742.24/x
  3. Step 3: Cross multiply
    6,259.32x = 8,636.40 × 3,742.24
  4. Step 4: Simplify right side
    6,259.32x = 32,319,481.54
  5. Step 5: Solve for x
    x = 32,319,481.54/6,259.32
  6. Step 6: Final answer
    x = 5,163.42

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