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Finding the Fourth Proportional to 3,777.07, 5,665.91 and 1,180

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Solution

The fourth proportional to 3,777.07, 5,665.91 and 1,180 is: 1,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.07 : 5,665.91 = 1,180 : x
  2. Step 2: Convert to fraction form
    3,777.07/5,665.91 = 1,180/x
  3. Step 3: Cross multiply
    3,777.07x = 5,665.91 × 1,180
  4. Step 4: Simplify right side
    3,777.07x = 6,685,773.80
  5. Step 5: Solve for x
    x = 6,685,773.80/3,777.07
  6. Step 6: Final answer
    x = 1,770.10

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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.