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Finding the Fourth Proportional to 3,467.70, 5,199.12 and 1,276.15

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Solution

The fourth proportional to 3,467.70, 5,199.12 and 1,276.15 is: 1,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.70 : 5,199.12 = 1,276.15 : x
  2. Step 2: Convert to fraction form
    3,467.70/5,199.12 = 1,276.15/x
  3. Step 3: Cross multiply
    3,467.70x = 5,199.12 × 1,276.15
  4. Step 4: Simplify right side
    3,467.70x = 6,634,842.28
  5. Step 5: Solve for x
    x = 6,634,842.28/3,467.70
  6. Step 6: Final answer
    x = 1,913.33

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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.