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Finding the Fourth Proportional to 5,070.98, 6,996.76 and 3,081.42

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Solution

The fourth proportional to 5,070.98, 6,996.76 and 3,081.42 is: 4,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.98 : 6,996.76 = 3,081.42 : x
  2. Step 2: Convert to fraction form
    5,070.98/6,996.76 = 3,081.42/x
  3. Step 3: Cross multiply
    5,070.98x = 6,996.76 × 3,081.42
  4. Step 4: Simplify right side
    5,070.98x = 21,559,940.79
  5. Step 5: Solve for x
    x = 21,559,940.79/5,070.98
  6. Step 6: Final answer
    x = 4,251.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.