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Finding the Fourth Proportional to 6,950.33, 10,422.76 and 3,052

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Solution

The fourth proportional to 6,950.33, 10,422.76 and 3,052 is: 4,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.33 : 10,422.76 = 3,052 : x
  2. Step 2: Convert to fraction form
    6,950.33/10,422.76 = 3,052/x
  3. Step 3: Cross multiply
    6,950.33x = 10,422.76 × 3,052
  4. Step 4: Simplify right side
    6,950.33x = 31,810,263.52
  5. Step 5: Solve for x
    x = 31,810,263.52/6,950.33
  6. Step 6: Final answer
    x = 4,576.80

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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.