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Finding the Fourth Proportional to 3,774.36, 5,660.82 and 1,465.56

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Solution

The fourth proportional to 3,774.36, 5,660.82 and 1,465.56 is: 2,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.36 : 5,660.82 = 1,465.56 : x
  2. Step 2: Convert to fraction form
    3,774.36/5,660.82 = 1,465.56/x
  3. Step 3: Cross multiply
    3,774.36x = 5,660.82 × 1,465.56
  4. Step 4: Simplify right side
    3,774.36x = 8,296,271.36
  5. Step 5: Solve for x
    x = 8,296,271.36/3,774.36
  6. Step 6: Final answer
    x = 2,198.06

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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.