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Finding the Fourth Proportional to 3,754, 5,633.56 and 1,322

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Solution

The fourth proportional to 3,754, 5,633.56 and 1,322 is: 1,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754 : 5,633.56 = 1,322 : x
  2. Step 2: Convert to fraction form
    3,754/5,633.56 = 1,322/x
  3. Step 3: Cross multiply
    3,754x = 5,633.56 × 1,322
  4. Step 4: Simplify right side
    3,754x = 7,447,566.32
  5. Step 5: Solve for x
    x = 7,447,566.32/3,754
  6. Step 6: Final answer
    x = 1,983.90

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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.