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Finding the Fourth Proportional to 4,116.68, 6,174.95 and 996.67

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Solution

The fourth proportional to 4,116.68, 6,174.95 and 996.67 is: 1,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.68 : 6,174.95 = 996.67 : x
  2. Step 2: Convert to fraction form
    4,116.68/6,174.95 = 996.67/x
  3. Step 3: Cross multiply
    4,116.68x = 6,174.95 × 996.67
  4. Step 4: Simplify right side
    4,116.68x = 6,154,359.03
  5. Step 5: Solve for x
    x = 6,154,359.03/4,116.68
  6. Step 6: Final answer
    x = 1,494.98

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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.