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Finding the Fourth Proportional to 3,696.01, 5,100.45 and 2,017.42

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Solution

The fourth proportional to 3,696.01, 5,100.45 and 2,017.42 is: 2,784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.01 : 5,100.45 = 2,017.42 : x
  2. Step 2: Convert to fraction form
    3,696.01/5,100.45 = 2,017.42/x
  3. Step 3: Cross multiply
    3,696.01x = 5,100.45 × 2,017.42
  4. Step 4: Simplify right side
    3,696.01x = 10,289,749.84
  5. Step 5: Solve for x
    x = 10,289,749.84/3,696.01
  6. Step 6: Final answer
    x = 2,784.02

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