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Finding the Fourth Proportional to 3,197.83, 4,792.38 and 2,417.19

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Solution

The fourth proportional to 3,197.83, 4,792.38 and 2,417.19 is: 3,622.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.83 : 4,792.38 = 2,417.19 : x
  2. Step 2: Convert to fraction form
    3,197.83/4,792.38 = 2,417.19/x
  3. Step 3: Cross multiply
    3,197.83x = 4,792.38 × 2,417.19
  4. Step 4: Simplify right side
    3,197.83x = 11,584,093.01
  5. Step 5: Solve for x
    x = 11,584,093.01/3,197.83
  6. Step 6: Final answer
    x = 3,622.49

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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.