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Finding the Fourth Proportional to 5,583.36, 8,373.73 and 1,633.74

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Solution

The fourth proportional to 5,583.36, 8,373.73 and 1,633.74 is: 2,450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.36 : 8,373.73 = 1,633.74 : x
  2. Step 2: Convert to fraction form
    5,583.36/8,373.73 = 1,633.74/x
  3. Step 3: Cross multiply
    5,583.36x = 8,373.73 × 1,633.74
  4. Step 4: Simplify right side
    5,583.36x = 13,680,535.88
  5. Step 5: Solve for x
    x = 13,680,535.88/5,583.36
  6. Step 6: Final answer
    x = 2,450.24

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Why These Related Problems?

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