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Finding the Fourth Proportional to 3,222.87, 4,826.39 and 1,574.10

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Solution

The fourth proportional to 3,222.87, 4,826.39 and 1,574.10 is: 2,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.87 : 4,826.39 = 1,574.10 : x
  2. Step 2: Convert to fraction form
    3,222.87/4,826.39 = 1,574.10/x
  3. Step 3: Cross multiply
    3,222.87x = 4,826.39 × 1,574.10
  4. Step 4: Simplify right side
    3,222.87x = 7,597,212.63
  5. Step 5: Solve for x
    x = 7,597,212.63/3,222.87
  6. Step 6: Final answer
    x = 2,357.28

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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.