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Finding the Fourth Proportional to 3,696.95, 5,101.65 and 2,059.76

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Solution

The fourth proportional to 3,696.95, 5,101.65 and 2,059.76 is: 2,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.95 : 5,101.65 = 2,059.76 : x
  2. Step 2: Convert to fraction form
    3,696.95/5,101.65 = 2,059.76/x
  3. Step 3: Cross multiply
    3,696.95x = 5,101.65 × 2,059.76
  4. Step 4: Simplify right side
    3,696.95x = 10,508,149.10
  5. Step 5: Solve for x
    x = 10,508,149.10/3,696.95
  6. Step 6: Final answer
    x = 2,842.39

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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.