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Finding the Fourth Proportional to 4,682.61, 6,458.79 and 3,189.93

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Solution

The fourth proportional to 4,682.61, 6,458.79 and 3,189.93 is: 4,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.61 : 6,458.79 = 3,189.93 : x
  2. Step 2: Convert to fraction form
    4,682.61/6,458.79 = 3,189.93/x
  3. Step 3: Cross multiply
    4,682.61x = 6,458.79 × 3,189.93
  4. Step 4: Simplify right side
    4,682.61x = 20,603,087.98
  5. Step 5: Solve for x
    x = 20,603,087.98/4,682.61
  6. Step 6: Final answer
    x = 4,399.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.