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Finding the Fourth Proportional to 3,781.74, 5,673.57 and 1,184.70

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Solution

The fourth proportional to 3,781.74, 5,673.57 and 1,184.70 is: 1,777.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.74 : 5,673.57 = 1,184.70 : x
  2. Step 2: Convert to fraction form
    3,781.74/5,673.57 = 1,184.70/x
  3. Step 3: Cross multiply
    3,781.74x = 5,673.57 × 1,184.70
  4. Step 4: Simplify right side
    3,781.74x = 6,721,478.38
  5. Step 5: Solve for x
    x = 6,721,478.38/3,781.74
  6. Step 6: Final answer
    x = 1,777.35

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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.