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Finding the Fourth Proportional to 3,602.68, 5,396.76 and 2,863.49

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Solution

The fourth proportional to 3,602.68, 5,396.76 and 2,863.49 is: 4,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.68 : 5,396.76 = 2,863.49 : x
  2. Step 2: Convert to fraction form
    3,602.68/5,396.76 = 2,863.49/x
  3. Step 3: Cross multiply
    3,602.68x = 5,396.76 × 2,863.49
  4. Step 4: Simplify right side
    3,602.68x = 15,453,541.31
  5. Step 5: Solve for x
    x = 15,453,541.31/3,602.68
  6. Step 6: Final answer
    x = 4,289.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.