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Finding the Fourth Proportional to 5,973, 8,242.82 and 3,615.40

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Solution

The fourth proportional to 5,973, 8,242.82 and 3,615.40 is: 4,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973 : 8,242.82 = 3,615.40 : x
  2. Step 2: Convert to fraction form
    5,973/8,242.82 = 3,615.40/x
  3. Step 3: Cross multiply
    5,973x = 8,242.82 × 3,615.40
  4. Step 4: Simplify right side
    5,973x = 29,801,091.43
  5. Step 5: Solve for x
    x = 29,801,091.43/5,973
  6. Step 6: Final answer
    x = 4,989.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.