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Finding the Fourth Proportional to 3,642.66, 5,464.09 and 1,177.49

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Solution

The fourth proportional to 3,642.66, 5,464.09 and 1,177.49 is: 1,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.66 : 5,464.09 = 1,177.49 : x
  2. Step 2: Convert to fraction form
    3,642.66/5,464.09 = 1,177.49/x
  3. Step 3: Cross multiply
    3,642.66x = 5,464.09 × 1,177.49
  4. Step 4: Simplify right side
    3,642.66x = 6,433,926.47
  5. Step 5: Solve for x
    x = 6,433,926.47/3,642.66
  6. Step 6: Final answer
    x = 1,766.27

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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.