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Finding the Fourth Proportional to 2,988.92, 4,474.11 and 2,546.05

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Solution

The fourth proportional to 2,988.92, 4,474.11 and 2,546.05 is: 3,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.92 : 4,474.11 = 2,546.05 : x
  2. Step 2: Convert to fraction form
    2,988.92/4,474.11 = 2,546.05/x
  3. Step 3: Cross multiply
    2,988.92x = 4,474.11 × 2,546.05
  4. Step 4: Simplify right side
    2,988.92x = 11,391,307.77
  5. Step 5: Solve for x
    x = 11,391,307.77/2,988.92
  6. Step 6: Final answer
    x = 3,811.18

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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.