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Finding the Fourth Proportional to 5,351.90, 8,023.84 and 1,651.96

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Solution

The fourth proportional to 5,351.90, 8,023.84 and 1,651.96 is: 2,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.90 : 8,023.84 = 1,651.96 : x
  2. Step 2: Convert to fraction form
    5,351.90/8,023.84 = 1,651.96/x
  3. Step 3: Cross multiply
    5,351.90x = 8,023.84 × 1,651.96
  4. Step 4: Simplify right side
    5,351.90x = 13,255,038.54
  5. Step 5: Solve for x
    x = 13,255,038.54/5,351.90
  6. Step 6: Final answer
    x = 2,476.70

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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.