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Finding the Fourth Proportional to 3,835, 5,753.58 and 1,644.76

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Solution

The fourth proportional to 3,835, 5,753.58 and 1,644.76 is: 2,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835 : 5,753.58 = 1,644.76 : x
  2. Step 2: Convert to fraction form
    3,835/5,753.58 = 1,644.76/x
  3. Step 3: Cross multiply
    3,835x = 5,753.58 × 1,644.76
  4. Step 4: Simplify right side
    3,835x = 9,463,258.24
  5. Step 5: Solve for x
    x = 9,463,258.24/3,835
  6. Step 6: Final answer
    x = 2,467.60

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1.5x scale

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.