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Finding the Fourth Proportional to 3,770.53, 5,653 and 2,289.44

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Solution

The fourth proportional to 3,770.53, 5,653 and 2,289.44 is: 3,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.53 : 5,653 = 2,289.44 : x
  2. Step 2: Convert to fraction form
    3,770.53/5,653 = 2,289.44/x
  3. Step 3: Cross multiply
    3,770.53x = 5,653 × 2,289.44
  4. Step 4: Simplify right side
    3,770.53x = 12,942,204.32
  5. Step 5: Solve for x
    x = 12,942,204.32/3,770.53
  6. Step 6: Final answer
    x = 3,432.46

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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.