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Finding the Fourth Proportional to 4,133.39, 6,197.39 and 1,500.40

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Solution

The fourth proportional to 4,133.39, 6,197.39 and 1,500.40 is: 2,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.39 : 6,197.39 = 1,500.40 : x
  2. Step 2: Convert to fraction form
    4,133.39/6,197.39 = 1,500.40/x
  3. Step 3: Cross multiply
    4,133.39x = 6,197.39 × 1,500.40
  4. Step 4: Simplify right side
    4,133.39x = 9,298,563.96
  5. Step 5: Solve for x
    x = 9,298,563.96/4,133.39
  6. Step 6: Final answer
    x = 2,249.62

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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.