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Finding the Fourth Proportional to 5,642.24, 8,464.41 and 1,745.73

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Solution

The fourth proportional to 5,642.24, 8,464.41 and 1,745.73 is: 2,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.24 : 8,464.41 = 1,745.73 : x
  2. Step 2: Convert to fraction form
    5,642.24/8,464.41 = 1,745.73/x
  3. Step 3: Cross multiply
    5,642.24x = 8,464.41 × 1,745.73
  4. Step 4: Simplify right side
    5,642.24x = 14,776,574.47
  5. Step 5: Solve for x
    x = 14,776,574.47/5,642.24
  6. Step 6: Final answer
    x = 2,618.92

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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.