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Finding the Fourth Proportional to 3,749.24, 5,623.85 and 1,529

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Solution

The fourth proportional to 3,749.24, 5,623.85 and 1,529 is: 2,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.24 : 5,623.85 = 1,529 : x
  2. Step 2: Convert to fraction form
    3,749.24/5,623.85 = 1,529/x
  3. Step 3: Cross multiply
    3,749.24x = 5,623.85 × 1,529
  4. Step 4: Simplify right side
    3,749.24x = 8,598,870.47
  5. Step 5: Solve for x
    x = 8,598,870.47/3,749.24
  6. Step 6: Final answer
    x = 2,293.50

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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.