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Finding the Fourth Proportional to 4,770.84, 7,158.24 and 1,998.12

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Solution

The fourth proportional to 4,770.84, 7,158.24 and 1,998.12 is: 2,998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.84 : 7,158.24 = 1,998.12 : x
  2. Step 2: Convert to fraction form
    4,770.84/7,158.24 = 1,998.12/x
  3. Step 3: Cross multiply
    4,770.84x = 7,158.24 × 1,998.12
  4. Step 4: Simplify right side
    4,770.84x = 14,303,022.51
  5. Step 5: Solve for x
    x = 14,303,022.51/4,770.84
  6. Step 6: Final answer
    x = 2,998.01

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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.