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Finding the Fourth Proportional to 3,768.03, 5,654.42 and 1,459.53

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Solution

The fourth proportional to 3,768.03, 5,654.42 and 1,459.53 is: 2,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.03 : 5,654.42 = 1,459.53 : x
  2. Step 2: Convert to fraction form
    3,768.03/5,654.42 = 1,459.53/x
  3. Step 3: Cross multiply
    3,768.03x = 5,654.42 × 1,459.53
  4. Step 4: Simplify right side
    3,768.03x = 8,252,788.32
  5. Step 5: Solve for x
    x = 8,252,788.32/3,768.03
  6. Step 6: Final answer
    x = 2,190.21

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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.