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Finding the Fourth Proportional to 4,216.50, 6,319.97 and 2,569.42

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Solution

The fourth proportional to 4,216.50, 6,319.97 and 2,569.42 is: 3,851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.50 : 6,319.97 = 2,569.42 : x
  2. Step 2: Convert to fraction form
    4,216.50/6,319.97 = 2,569.42/x
  3. Step 3: Cross multiply
    4,216.50x = 6,319.97 × 2,569.42
  4. Step 4: Simplify right side
    4,216.50x = 16,238,612.87
  5. Step 5: Solve for x
    x = 16,238,612.87/4,216.50
  6. Step 6: Final answer
    x = 3,851.21

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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.