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Finding the Fourth Proportional to 3,679.66, 5,516.37 and 1,598.09

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Solution

The fourth proportional to 3,679.66, 5,516.37 and 1,598.09 is: 2,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.66 : 5,516.37 = 1,598.09 : x
  2. Step 2: Convert to fraction form
    3,679.66/5,516.37 = 1,598.09/x
  3. Step 3: Cross multiply
    3,679.66x = 5,516.37 × 1,598.09
  4. Step 4: Simplify right side
    3,679.66x = 8,815,620.16
  5. Step 5: Solve for x
    x = 8,815,620.16/3,679.66
  6. Step 6: Final answer
    x = 2,395.77

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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.