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Finding the Fourth Proportional to 3,754.55, 5,632.63 and 1,122.03

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Solution

The fourth proportional to 3,754.55, 5,632.63 and 1,122.03 is: 1,683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.55 : 5,632.63 = 1,122.03 : x
  2. Step 2: Convert to fraction form
    3,754.55/5,632.63 = 1,122.03/x
  3. Step 3: Cross multiply
    3,754.55x = 5,632.63 × 1,122.03
  4. Step 4: Simplify right side
    3,754.55x = 6,319,977.03
  5. Step 5: Solve for x
    x = 6,319,977.03/3,754.55
  6. Step 6: Final answer
    x = 1,683.28

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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.