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Finding the Fourth Proportional to 4,773.94, 7,152.43 and 1,994.49

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Solution

The fourth proportional to 4,773.94, 7,152.43 and 1,994.49 is: 2,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.94 : 7,152.43 = 1,994.49 : x
  2. Step 2: Convert to fraction form
    4,773.94/7,152.43 = 1,994.49/x
  3. Step 3: Cross multiply
    4,773.94x = 7,152.43 × 1,994.49
  4. Step 4: Simplify right side
    4,773.94x = 14,265,450.11
  5. Step 5: Solve for x
    x = 14,265,450.11/4,773.94
  6. Step 6: Final answer
    x = 2,988.19

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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.