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Finding the Fourth Proportional to 3,784.76, 5,675.58 and 1,704.22

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Solution

The fourth proportional to 3,784.76, 5,675.58 and 1,704.22 is: 2,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.76 : 5,675.58 = 1,704.22 : x
  2. Step 2: Convert to fraction form
    3,784.76/5,675.58 = 1,704.22/x
  3. Step 3: Cross multiply
    3,784.76x = 5,675.58 × 1,704.22
  4. Step 4: Simplify right side
    3,784.76x = 9,672,436.95
  5. Step 5: Solve for x
    x = 9,672,436.95/3,784.76
  6. Step 6: Final answer
    x = 2,555.63

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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.