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Finding the Fourth Proportional to 3,417.57, 4,716.60 and 2,092.15

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Solution

The fourth proportional to 3,417.57, 4,716.60 and 2,092.15 is: 2,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.57 : 4,716.60 = 2,092.15 : x
  2. Step 2: Convert to fraction form
    3,417.57/4,716.60 = 2,092.15/x
  3. Step 3: Cross multiply
    3,417.57x = 4,716.60 × 2,092.15
  4. Step 4: Simplify right side
    3,417.57x = 9,867,824.23
  5. Step 5: Solve for x
    x = 9,867,824.23/3,417.57
  6. Step 6: Final answer
    x = 2,887.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.