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Finding the Fourth Proportional to 3,465.72, 5,198.58 and 1,274.64

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Solution

The fourth proportional to 3,465.72, 5,198.58 and 1,274.64 is: 1,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.72 : 5,198.58 = 1,274.64 : x
  2. Step 2: Convert to fraction form
    3,465.72/5,198.58 = 1,274.64/x
  3. Step 3: Cross multiply
    3,465.72x = 5,198.58 × 1,274.64
  4. Step 4: Simplify right side
    3,465.72x = 6,626,318.01
  5. Step 5: Solve for x
    x = 6,626,318.01/3,465.72
  6. Step 6: Final answer
    x = 1,911.96

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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.