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Finding the Fourth Proportional to 3,749, 5,623.66 and 2,654.60

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Solution

The fourth proportional to 3,749, 5,623.66 and 2,654.60 is: 3,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749 : 5,623.66 = 2,654.60 : x
  2. Step 2: Convert to fraction form
    3,749/5,623.66 = 2,654.60/x
  3. Step 3: Cross multiply
    3,749x = 5,623.66 × 2,654.60
  4. Step 4: Simplify right side
    3,749x = 14,928,567.84
  5. Step 5: Solve for x
    x = 14,928,567.84/3,749
  6. Step 6: Final answer
    x = 3,982.01

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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.