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Finding the Fourth Proportional to 4,941.84, 7,412.66 and 2,019.44

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Solution

The fourth proportional to 4,941.84, 7,412.66 and 2,019.44 is: 3,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.84 : 7,412.66 = 2,019.44 : x
  2. Step 2: Convert to fraction form
    4,941.84/7,412.66 = 2,019.44/x
  3. Step 3: Cross multiply
    4,941.84x = 7,412.66 × 2,019.44
  4. Step 4: Simplify right side
    4,941.84x = 14,969,422.11
  5. Step 5: Solve for x
    x = 14,969,422.11/4,941.84
  6. Step 6: Final answer
    x = 3,029.12

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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.