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Finding the Fourth Proportional to 3,770.60, 5,656.80 and 1,173.56

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Solution

The fourth proportional to 3,770.60, 5,656.80 and 1,173.56 is: 1,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.60 : 5,656.80 = 1,173.56 : x
  2. Step 2: Convert to fraction form
    3,770.60/5,656.80 = 1,173.56/x
  3. Step 3: Cross multiply
    3,770.60x = 5,656.80 × 1,173.56
  4. Step 4: Simplify right side
    3,770.60x = 6,638,594.21
  5. Step 5: Solve for x
    x = 6,638,594.21/3,770.60
  6. Step 6: Final answer
    x = 1,760.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.