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Finding the Fourth Proportional to 3,950.47, 5,926.56 and 1,177.37

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Solution

The fourth proportional to 3,950.47, 5,926.56 and 1,177.37 is: 1,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.47 : 5,926.56 = 1,177.37 : x
  2. Step 2: Convert to fraction form
    3,950.47/5,926.56 = 1,177.37/x
  3. Step 3: Cross multiply
    3,950.47x = 5,926.56 × 1,177.37
  4. Step 4: Simplify right side
    3,950.47x = 6,977,748.75
  5. Step 5: Solve for x
    x = 6,977,748.75/3,950.47
  6. Step 6: Final answer
    x = 1,766.31

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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.