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Finding the Fourth Proportional to 4,846.42, 7,264.11 and 2,069.02

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Solution

The fourth proportional to 4,846.42, 7,264.11 and 2,069.02 is: 3,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.42 : 7,264.11 = 2,069.02 : x
  2. Step 2: Convert to fraction form
    4,846.42/7,264.11 = 2,069.02/x
  3. Step 3: Cross multiply
    4,846.42x = 7,264.11 × 2,069.02
  4. Step 4: Simplify right side
    4,846.42x = 15,029,588.87
  5. Step 5: Solve for x
    x = 15,029,588.87/4,846.42
  6. Step 6: Final answer
    x = 3,101.17

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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.