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Finding the Fourth Proportional to 4,509.42, 6,764.22 and 2,431.14

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Solution

The fourth proportional to 4,509.42, 6,764.22 and 2,431.14 is: 3,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.42 : 6,764.22 = 2,431.14 : x
  2. Step 2: Convert to fraction form
    4,509.42/6,764.22 = 2,431.14/x
  3. Step 3: Cross multiply
    4,509.42x = 6,764.22 × 2,431.14
  4. Step 4: Simplify right side
    4,509.42x = 16,444,765.81
  5. Step 5: Solve for x
    x = 16,444,765.81/4,509.42
  6. Step 6: Final answer
    x = 3,646.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.