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Finding the Fourth Proportional to 3,467.16, 5,200.42 and 1,415

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Solution

The fourth proportional to 3,467.16, 5,200.42 and 1,415 is: 2,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.16 : 5,200.42 = 1,415 : x
  2. Step 2: Convert to fraction form
    3,467.16/5,200.42 = 1,415/x
  3. Step 3: Cross multiply
    3,467.16x = 5,200.42 × 1,415
  4. Step 4: Simplify right side
    3,467.16x = 7,358,594.30
  5. Step 5: Solve for x
    x = 7,358,594.30/3,467.16
  6. Step 6: Final answer
    x = 2,122.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.