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Finding the Fourth Proportional to 3,642.84, 5,464.94 and 1,177.61

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Solution

The fourth proportional to 3,642.84, 5,464.94 and 1,177.61 is: 1,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.84 : 5,464.94 = 1,177.61 : x
  2. Step 2: Convert to fraction form
    3,642.84/5,464.94 = 1,177.61/x
  3. Step 3: Cross multiply
    3,642.84x = 5,464.94 × 1,177.61
  4. Step 4: Simplify right side
    3,642.84x = 6,435,534.78
  5. Step 5: Solve for x
    x = 6,435,534.78/3,642.84
  6. Step 6: Final answer
    x = 1,766.63

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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.