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Finding the Fourth Proportional to 5,633.50, 8,450.25 and 1,529.50

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Solution

The fourth proportional to 5,633.50, 8,450.25 and 1,529.50 is: 2,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.50 : 8,450.25 = 1,529.50 : x
  2. Step 2: Convert to fraction form
    5,633.50/8,450.25 = 1,529.50/x
  3. Step 3: Cross multiply
    5,633.50x = 8,450.25 × 1,529.50
  4. Step 4: Simplify right side
    5,633.50x = 12,924,657.38
  5. Step 5: Solve for x
    x = 12,924,657.38/5,633.50
  6. Step 6: Final answer
    x = 2,294.25

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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.