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Finding the Fourth Proportional to 3,522.01, 5,285.90 and 1,442.03

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Solution

The fourth proportional to 3,522.01, 5,285.90 and 1,442.03 is: 2,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.01 : 5,285.90 = 1,442.03 : x
  2. Step 2: Convert to fraction form
    3,522.01/5,285.90 = 1,442.03/x
  3. Step 3: Cross multiply
    3,522.01x = 5,285.90 × 1,442.03
  4. Step 4: Simplify right side
    3,522.01x = 7,622,426.38
  5. Step 5: Solve for x
    x = 7,622,426.38/3,522.01
  6. Step 6: Final answer
    x = 2,164.23

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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.