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Finding the Fourth Proportional to 3,982.07, 5,972.33 and 3,784.51

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Solution

The fourth proportional to 3,982.07, 5,972.33 and 3,784.51 is: 5,676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.07 : 5,972.33 = 3,784.51 : x
  2. Step 2: Convert to fraction form
    3,982.07/5,972.33 = 3,784.51/x
  3. Step 3: Cross multiply
    3,982.07x = 5,972.33 × 3,784.51
  4. Step 4: Simplify right side
    3,982.07x = 22,602,312.75
  5. Step 5: Solve for x
    x = 22,602,312.75/3,982.07
  6. Step 6: Final answer
    x = 5,676.02

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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.