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Finding the Fourth Proportional to 3,602.28, 5,407.04 and 2,563.46

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Solution

The fourth proportional to 3,602.28, 5,407.04 and 2,563.46 is: 3,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.28 : 5,407.04 = 2,563.46 : x
  2. Step 2: Convert to fraction form
    3,602.28/5,407.04 = 2,563.46/x
  3. Step 3: Cross multiply
    3,602.28x = 5,407.04 × 2,563.46
  4. Step 4: Simplify right side
    3,602.28x = 13,860,710.13
  5. Step 5: Solve for x
    x = 13,860,710.13/3,602.28
  6. Step 6: Final answer
    x = 3,847.76

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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.