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Finding the Fourth Proportional to 3,602.88, 5,414.04 and 2,045.25

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Solution

The fourth proportional to 3,602.88, 5,414.04 and 2,045.25 is: 3,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.88 : 5,414.04 = 2,045.25 : x
  2. Step 2: Convert to fraction form
    3,602.88/5,414.04 = 2,045.25/x
  3. Step 3: Cross multiply
    3,602.88x = 5,414.04 × 2,045.25
  4. Step 4: Simplify right side
    3,602.88x = 11,073,065.31
  5. Step 5: Solve for x
    x = 11,073,065.31/3,602.88
  6. Step 6: Final answer
    x = 3,073.39

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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.