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Finding the Fourth Proportional to 4,770.90, 7,157.16 and 1,998.54

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Solution

The fourth proportional to 4,770.90, 7,157.16 and 1,998.54 is: 2,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.90 : 7,157.16 = 1,998.54 : x
  2. Step 2: Convert to fraction form
    4,770.90/7,157.16 = 1,998.54/x
  3. Step 3: Cross multiply
    4,770.90x = 7,157.16 × 1,998.54
  4. Step 4: Simplify right side
    4,770.90x = 14,303,870.55
  5. Step 5: Solve for x
    x = 14,303,870.55/4,770.90
  6. Step 6: Final answer
    x = 2,998.15

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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.