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Finding the Fourth Proportional to 3,384.03, 5,074.77 and 1,162.23

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Solution

The fourth proportional to 3,384.03, 5,074.77 and 1,162.23 is: 1,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.03 : 5,074.77 = 1,162.23 : x
  2. Step 2: Convert to fraction form
    3,384.03/5,074.77 = 1,162.23/x
  3. Step 3: Cross multiply
    3,384.03x = 5,074.77 × 1,162.23
  4. Step 4: Simplify right side
    3,384.03x = 5,898,032.00
  5. Step 5: Solve for x
    x = 5,898,032.00/3,384.03
  6. Step 6: Final answer
    x = 1,742.90

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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.