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Finding the Fourth Proportional to 3,465, 5,198.22 and 1,413

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Solution

The fourth proportional to 3,465, 5,198.22 and 1,413 is: 2,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465 : 5,198.22 = 1,413 : x
  2. Step 2: Convert to fraction form
    3,465/5,198.22 = 1,413/x
  3. Step 3: Cross multiply
    3,465x = 5,198.22 × 1,413
  4. Step 4: Simplify right side
    3,465x = 7,345,084.86
  5. Step 5: Solve for x
    x = 7,345,084.86/3,465
  6. Step 6: Final answer
    x = 2,119.79

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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.