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Finding the Fourth Proportional to 3,467.70, 5,200.34 and 1,387.01

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Solution

The fourth proportional to 3,467.70, 5,200.34 and 1,387.01 is: 2,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.70 : 5,200.34 = 1,387.01 : x
  2. Step 2: Convert to fraction form
    3,467.70/5,200.34 = 1,387.01/x
  3. Step 3: Cross multiply
    3,467.70x = 5,200.34 × 1,387.01
  4. Step 4: Simplify right side
    3,467.70x = 7,212,929.65
  5. Step 5: Solve for x
    x = 7,212,929.65/3,467.70
  6. Step 6: Final answer
    x = 2,080.03

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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.