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Finding the Fourth Proportional to 3,763, 5,644.54 and 1,298.44

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Solution

The fourth proportional to 3,763, 5,644.54 and 1,298.44 is: 1,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763 : 5,644.54 = 1,298.44 : x
  2. Step 2: Convert to fraction form
    3,763/5,644.54 = 1,298.44/x
  3. Step 3: Cross multiply
    3,763x = 5,644.54 × 1,298.44
  4. Step 4: Simplify right side
    3,763x = 7,329,096.52
  5. Step 5: Solve for x
    x = 7,329,096.52/3,763
  6. Step 6: Final answer
    x = 1,947.67

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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.