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Finding the Fourth Proportional to 5,065.78, 6,990.85 and 2,969.94

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Solution

The fourth proportional to 5,065.78, 6,990.85 and 2,969.94 is: 4,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.78 : 6,990.85 = 2,969.94 : x
  2. Step 2: Convert to fraction form
    5,065.78/6,990.85 = 2,969.94/x
  3. Step 3: Cross multiply
    5,065.78x = 6,990.85 × 2,969.94
  4. Step 4: Simplify right side
    5,065.78x = 20,762,405.05
  5. Step 5: Solve for x
    x = 20,762,405.05/5,065.78
  6. Step 6: Final answer
    x = 4,098.56

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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.