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Finding the Fourth Proportional to 3,216.56, 4,438.92 and 1,819.28

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Solution

The fourth proportional to 3,216.56, 4,438.92 and 1,819.28 is: 2,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.56 : 4,438.92 = 1,819.28 : x
  2. Step 2: Convert to fraction form
    3,216.56/4,438.92 = 1,819.28/x
  3. Step 3: Cross multiply
    3,216.56x = 4,438.92 × 1,819.28
  4. Step 4: Simplify right side
    3,216.56x = 8,075,638.38
  5. Step 5: Solve for x
    x = 8,075,638.38/3,216.56
  6. Step 6: Final answer
    x = 2,510.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.