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Finding the Fourth Proportional to 3,467.10, 5,200.64 and 1,387.63

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Solution

The fourth proportional to 3,467.10, 5,200.64 and 1,387.63 is: 2,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.10 : 5,200.64 = 1,387.63 : x
  2. Step 2: Convert to fraction form
    3,467.10/5,200.64 = 1,387.63/x
  3. Step 3: Cross multiply
    3,467.10x = 5,200.64 × 1,387.63
  4. Step 4: Simplify right side
    3,467.10x = 7,216,531.14
  5. Step 5: Solve for x
    x = 7,216,531.14/3,467.10
  6. Step 6: Final answer
    x = 2,081.43

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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.