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Finding the Fourth Proportional to 5,349.68, 8,023.86 and 1,651.88

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Solution

The fourth proportional to 5,349.68, 8,023.86 and 1,651.88 is: 2,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.68 : 8,023.86 = 1,651.88 : x
  2. Step 2: Convert to fraction form
    5,349.68/8,023.86 = 1,651.88/x
  3. Step 3: Cross multiply
    5,349.68x = 8,023.86 × 1,651.88
  4. Step 4: Simplify right side
    5,349.68x = 13,254,453.86
  5. Step 5: Solve for x
    x = 13,254,453.86/5,349.68
  6. Step 6: Final answer
    x = 2,477.62

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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.