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Finding the Fourth Proportional to 3,467.76, 5,199.24 and 1,276.56

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Solution

The fourth proportional to 3,467.76, 5,199.24 and 1,276.56 is: 1,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.76 : 5,199.24 = 1,276.56 : x
  2. Step 2: Convert to fraction form
    3,467.76/5,199.24 = 1,276.56/x
  3. Step 3: Cross multiply
    3,467.76x = 5,199.24 × 1,276.56
  4. Step 4: Simplify right side
    3,467.76x = 6,637,141.81
  5. Step 5: Solve for x
    x = 6,637,141.81/3,467.76
  6. Step 6: Final answer
    x = 1,913.96

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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.