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Finding the Fourth Proportional to 3,775.41, 5,663.72 and 1,178.35

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Solution

The fourth proportional to 3,775.41, 5,663.72 and 1,178.35 is: 1,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.41 : 5,663.72 = 1,178.35 : x
  2. Step 2: Convert to fraction form
    3,775.41/5,663.72 = 1,178.35/x
  3. Step 3: Cross multiply
    3,775.41x = 5,663.72 × 1,178.35
  4. Step 4: Simplify right side
    3,775.41x = 6,673,833.25
  5. Step 5: Solve for x
    x = 6,673,833.25/3,775.41
  6. Step 6: Final answer
    x = 1,767.71

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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.