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Finding the Fourth Proportional to 3,770.50, 5,655.76 and 1,173.44

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Solution

The fourth proportional to 3,770.50, 5,655.76 and 1,173.44 is: 1,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.50 : 5,655.76 = 1,173.44 : x
  2. Step 2: Convert to fraction form
    3,770.50/5,655.76 = 1,173.44/x
  3. Step 3: Cross multiply
    3,770.50x = 5,655.76 × 1,173.44
  4. Step 4: Simplify right side
    3,770.50x = 6,636,695.01
  5. Step 5: Solve for x
    x = 6,636,695.01/3,770.50
  6. Step 6: Final answer
    x = 1,760.16

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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.