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Finding the Fourth Proportional to 2,996.23, 4,472.16 and 2,811.55

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Solution

The fourth proportional to 2,996.23, 4,472.16 and 2,811.55 is: 4,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.23 : 4,472.16 = 2,811.55 : x
  2. Step 2: Convert to fraction form
    2,996.23/4,472.16 = 2,811.55/x
  3. Step 3: Cross multiply
    2,996.23x = 4,472.16 × 2,811.55
  4. Step 4: Simplify right side
    2,996.23x = 12,573,701.45
  5. Step 5: Solve for x
    x = 12,573,701.45/2,996.23
  6. Step 6: Final answer
    x = 4,196.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.