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Finding the Fourth Proportional to 4,489.14, 6,735.66 and 1,716.66

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Solution

The fourth proportional to 4,489.14, 6,735.66 and 1,716.66 is: 2,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.14 : 6,735.66 = 1,716.66 : x
  2. Step 2: Convert to fraction form
    4,489.14/6,735.66 = 1,716.66/x
  3. Step 3: Cross multiply
    4,489.14x = 6,735.66 × 1,716.66
  4. Step 4: Simplify right side
    4,489.14x = 11,562,838.10
  5. Step 5: Solve for x
    x = 11,562,838.10/4,489.14
  6. Step 6: Final answer
    x = 2,575.74

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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.