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Finding the Fourth Proportional to 5,998.66, 8,984.82 and 4,946.81

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Solution

The fourth proportional to 5,998.66, 8,984.82 and 4,946.81 is: 7,409.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.66 : 8,984.82 = 4,946.81 : x
  2. Step 2: Convert to fraction form
    5,998.66/8,984.82 = 4,946.81/x
  3. Step 3: Cross multiply
    5,998.66x = 8,984.82 × 4,946.81
  4. Step 4: Simplify right side
    5,998.66x = 44,446,171.05
  5. Step 5: Solve for x
    x = 44,446,171.05/5,998.66
  6. Step 6: Final answer
    x = 7,409.35

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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.