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Finding the Fourth Proportional to 5,071.52, 7,604.02 and 2,112.01

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Solution

The fourth proportional to 5,071.52, 7,604.02 and 2,112.01 is: 3,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.52 : 7,604.02 = 2,112.01 : x
  2. Step 2: Convert to fraction form
    5,071.52/7,604.02 = 2,112.01/x
  3. Step 3: Cross multiply
    5,071.52x = 7,604.02 × 2,112.01
  4. Step 4: Simplify right side
    5,071.52x = 16,059,766.28
  5. Step 5: Solve for x
    x = 16,059,766.28/5,071.52
  6. Step 6: Final answer
    x = 3,166.66

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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.