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Finding the Fourth Proportional to 4,643.60, 6,950.34 and 3,410.73

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Solution

The fourth proportional to 4,643.60, 6,950.34 and 3,410.73 is: 5,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.60 : 6,950.34 = 3,410.73 : x
  2. Step 2: Convert to fraction form
    4,643.60/6,950.34 = 3,410.73/x
  3. Step 3: Cross multiply
    4,643.60x = 6,950.34 × 3,410.73
  4. Step 4: Simplify right side
    4,643.60x = 23,705,733.15
  5. Step 5: Solve for x
    x = 23,705,733.15/4,643.60
  6. Step 6: Final answer
    x = 5,105.04

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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.