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Finding the Fourth Proportional to 3,465.63, 5,197.41 and 1,384.92

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Solution

The fourth proportional to 3,465.63, 5,197.41 and 1,384.92 is: 2,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.63 : 5,197.41 = 1,384.92 : x
  2. Step 2: Convert to fraction form
    3,465.63/5,197.41 = 1,384.92/x
  3. Step 3: Cross multiply
    3,465.63x = 5,197.41 × 1,384.92
  4. Step 4: Simplify right side
    3,465.63x = 7,197,997.06
  5. Step 5: Solve for x
    x = 7,197,997.06/3,465.63
  6. Step 6: Final answer
    x = 2,076.97

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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.