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Finding the Fourth Proportional to 4,694.05, 7,040.85 and 1,574.10

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Solution

The fourth proportional to 4,694.05, 7,040.85 and 1,574.10 is: 2,361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.05 : 7,040.85 = 1,574.10 : x
  2. Step 2: Convert to fraction form
    4,694.05/7,040.85 = 1,574.10/x
  3. Step 3: Cross multiply
    4,694.05x = 7,040.85 × 1,574.10
  4. Step 4: Simplify right side
    4,694.05x = 11,083,001.99
  5. Step 5: Solve for x
    x = 11,083,001.99/4,694.05
  6. Step 6: Final answer
    x = 2,361.07

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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.