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Finding the Fourth Proportional to 3,609.29, 5,415.74 and 1,662.86

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Solution

The fourth proportional to 3,609.29, 5,415.74 and 1,662.86 is: 2,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.29 : 5,415.74 = 1,662.86 : x
  2. Step 2: Convert to fraction form
    3,609.29/5,415.74 = 1,662.86/x
  3. Step 3: Cross multiply
    3,609.29x = 5,415.74 × 1,662.86
  4. Step 4: Simplify right side
    3,609.29x = 9,005,617.42
  5. Step 5: Solve for x
    x = 9,005,617.42/3,609.29
  6. Step 6: Final answer
    x = 2,495.12

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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.