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Finding the Fourth Proportional to 4,675.05, 6,991.92 and 4,158.68

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Solution

The fourth proportional to 4,675.05, 6,991.92 and 4,158.68 is: 6,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.05 : 6,991.92 = 4,158.68 : x
  2. Step 2: Convert to fraction form
    4,675.05/6,991.92 = 4,158.68/x
  3. Step 3: Cross multiply
    4,675.05x = 6,991.92 × 4,158.68
  4. Step 4: Simplify right side
    4,675.05x = 29,077,122.91
  5. Step 5: Solve for x
    x = 29,077,122.91/4,675.05
  6. Step 6: Final answer
    x = 6,219.64

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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.