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Finding the Fourth Proportional to 3,984.34, 5,971.05 and 2,032.45

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Solution

The fourth proportional to 3,984.34, 5,971.05 and 2,032.45 is: 3,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.34 : 5,971.05 = 2,032.45 : x
  2. Step 2: Convert to fraction form
    3,984.34/5,971.05 = 2,032.45/x
  3. Step 3: Cross multiply
    3,984.34x = 5,971.05 × 2,032.45
  4. Step 4: Simplify right side
    3,984.34x = 12,135,860.57
  5. Step 5: Solve for x
    x = 12,135,860.57/3,984.34
  6. Step 6: Final answer
    x = 3,045.89

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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.