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Finding the Fourth Proportional to 3,538.01, 5,307.63 and 1,198.26

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Solution

The fourth proportional to 3,538.01, 5,307.63 and 1,198.26 is: 1,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.01 : 5,307.63 = 1,198.26 : x
  2. Step 2: Convert to fraction form
    3,538.01/5,307.63 = 1,198.26/x
  3. Step 3: Cross multiply
    3,538.01x = 5,307.63 × 1,198.26
  4. Step 4: Simplify right side
    3,538.01x = 6,359,916.23
  5. Step 5: Solve for x
    x = 6,359,916.23/3,538.01
  6. Step 6: Final answer
    x = 1,797.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.