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Finding the Fourth Proportional to 3,775.05, 5,662.58 and 1,177.65

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Solution

The fourth proportional to 3,775.05, 5,662.58 and 1,177.65 is: 1,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.05 : 5,662.58 = 1,177.65 : x
  2. Step 2: Convert to fraction form
    3,775.05/5,662.58 = 1,177.65/x
  3. Step 3: Cross multiply
    3,775.05x = 5,662.58 × 1,177.65
  4. Step 4: Simplify right side
    3,775.05x = 6,668,531.45
  5. Step 5: Solve for x
    x = 6,668,531.45/3,775.05
  6. Step 6: Final answer
    x = 1,766.48

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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.