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Finding the Fourth Proportional to 4,532.41, 6,797.80 and 2,884.06

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Solution

The fourth proportional to 4,532.41, 6,797.80 and 2,884.06 is: 4,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.41 : 6,797.80 = 2,884.06 : x
  2. Step 2: Convert to fraction form
    4,532.41/6,797.80 = 2,884.06/x
  3. Step 3: Cross multiply
    4,532.41x = 6,797.80 × 2,884.06
  4. Step 4: Simplify right side
    4,532.41x = 19,605,230.37
  5. Step 5: Solve for x
    x = 19,605,230.37/4,532.41
  6. Step 6: Final answer
    x = 4,325.57

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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.