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Finding the Fourth Proportional to 4,673.40, 6,994.80 and 4,241.67

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Solution

The fourth proportional to 4,673.40, 6,994.80 and 4,241.67 is: 6,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.40 : 6,994.80 = 4,241.67 : x
  2. Step 2: Convert to fraction form
    4,673.40/6,994.80 = 4,241.67/x
  3. Step 3: Cross multiply
    4,673.40x = 6,994.80 × 4,241.67
  4. Step 4: Simplify right side
    4,673.40x = 29,669,633.32
  5. Step 5: Solve for x
    x = 29,669,633.32/4,673.40
  6. Step 6: Final answer
    x = 6,348.62

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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.