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Finding the Fourth Proportional to 4,694.95, 7,042.44 and 1,408.06

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Solution

The fourth proportional to 4,694.95, 7,042.44 and 1,408.06 is: 2,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.95 : 7,042.44 = 1,408.06 : x
  2. Step 2: Convert to fraction form
    4,694.95/7,042.44 = 1,408.06/x
  3. Step 3: Cross multiply
    4,694.95x = 7,042.44 × 1,408.06
  4. Step 4: Simplify right side
    4,694.95x = 9,916,178.07
  5. Step 5: Solve for x
    x = 9,916,178.07/4,694.95
  6. Step 6: Final answer
    x = 2,112.09

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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.