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Finding the Fourth Proportional to 4,145.69, 6,214.62 and 2,063.72

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Solution

The fourth proportional to 4,145.69, 6,214.62 and 2,063.72 is: 3,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.69 : 6,214.62 = 2,063.72 : x
  2. Step 2: Convert to fraction form
    4,145.69/6,214.62 = 2,063.72/x
  3. Step 3: Cross multiply
    4,145.69x = 6,214.62 × 2,063.72
  4. Step 4: Simplify right side
    4,145.69x = 12,825,258.86
  5. Step 5: Solve for x
    x = 12,825,258.86/4,145.69
  6. Step 6: Final answer
    x = 3,093.64

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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.