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Finding the Fourth Proportional to 3,780.08, 5,670.42 and 1,183

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Solution

The fourth proportional to 3,780.08, 5,670.42 and 1,183 is: 1,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.08 : 5,670.42 = 1,183 : x
  2. Step 2: Convert to fraction form
    3,780.08/5,670.42 = 1,183/x
  3. Step 3: Cross multiply
    3,780.08x = 5,670.42 × 1,183
  4. Step 4: Simplify right side
    3,780.08x = 6,708,106.86
  5. Step 5: Solve for x
    x = 6,708,106.86/3,780.08
  6. Step 6: Final answer
    x = 1,774.59

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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.