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Finding the Fourth Proportional to 5,604.44, 8,407.44 and 1,905.66

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Solution

The fourth proportional to 5,604.44, 8,407.44 and 1,905.66 is: 2,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.44 : 8,407.44 = 1,905.66 : x
  2. Step 2: Convert to fraction form
    5,604.44/8,407.44 = 1,905.66/x
  3. Step 3: Cross multiply
    5,604.44x = 8,407.44 × 1,905.66
  4. Step 4: Simplify right side
    5,604.44x = 16,021,722.11
  5. Step 5: Solve for x
    x = 16,021,722.11/5,604.44
  6. Step 6: Final answer
    x = 2,858.76

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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.