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Finding the Fourth Proportional to 3,409.22, 4,704.18 and 1,917.20

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Solution

The fourth proportional to 3,409.22, 4,704.18 and 1,917.20 is: 2,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.22 : 4,704.18 = 1,917.20 : x
  2. Step 2: Convert to fraction form
    3,409.22/4,704.18 = 1,917.20/x
  3. Step 3: Cross multiply
    3,409.22x = 4,704.18 × 1,917.20
  4. Step 4: Simplify right side
    3,409.22x = 9,018,830.38
  5. Step 5: Solve for x
    x = 9,018,830.38/3,409.22
  6. Step 6: Final answer
    x = 2,645.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.