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Finding the Fourth Proportional to 3,419, 5,128.86 and 1,569.80

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Solution

The fourth proportional to 3,419, 5,128.86 and 1,569.80 is: 2,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419 : 5,128.86 = 1,569.80 : x
  2. Step 2: Convert to fraction form
    3,419/5,128.86 = 1,569.80/x
  3. Step 3: Cross multiply
    3,419x = 5,128.86 × 1,569.80
  4. Step 4: Simplify right side
    3,419x = 8,051,284.43
  5. Step 5: Solve for x
    x = 8,051,284.43/3,419
  6. Step 6: Final answer
    x = 2,354.87

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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.