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Finding the Fourth Proportional to 3,602.30, 5,404.17 and 1,522.31

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Solution

The fourth proportional to 3,602.30, 5,404.17 and 1,522.31 is: 2,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.30 : 5,404.17 = 1,522.31 : x
  2. Step 2: Convert to fraction form
    3,602.30/5,404.17 = 1,522.31/x
  3. Step 3: Cross multiply
    3,602.30x = 5,404.17 × 1,522.31
  4. Step 4: Simplify right side
    3,602.30x = 8,226,795.01
  5. Step 5: Solve for x
    x = 8,226,795.01/3,602.30
  6. Step 6: Final answer
    x = 2,283.76

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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.