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Finding the Fourth Proportional to 5,634.86, 8,447.72 and 2,350.40

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Solution

The fourth proportional to 5,634.86, 8,447.72 and 2,350.40 is: 3,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.86 : 8,447.72 = 2,350.40 : x
  2. Step 2: Convert to fraction form
    5,634.86/8,447.72 = 2,350.40/x
  3. Step 3: Cross multiply
    5,634.86x = 8,447.72 × 2,350.40
  4. Step 4: Simplify right side
    5,634.86x = 19,855,467.10
  5. Step 5: Solve for x
    x = 19,855,467.10/5,634.86
  6. Step 6: Final answer
    x = 3,523.69

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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.