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Finding the Fourth Proportional to 5,737, 8,606.94 and 1,633

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Solution

The fourth proportional to 5,737, 8,606.94 and 1,633 is: 2,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737 : 8,606.94 = 1,633 : x
  2. Step 2: Convert to fraction form
    5,737/8,606.94 = 1,633/x
  3. Step 3: Cross multiply
    5,737x = 8,606.94 × 1,633
  4. Step 4: Simplify right side
    5,737x = 14,055,133.02
  5. Step 5: Solve for x
    x = 14,055,133.02/5,737
  6. Step 6: Final answer
    x = 2,449.91

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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.