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Finding the Fourth Proportional to 5,335.34, 7,986.58 and 3,148.34

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Solution

The fourth proportional to 5,335.34, 7,986.58 and 3,148.34 is: 4,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.34 : 7,986.58 = 3,148.34 : x
  2. Step 2: Convert to fraction form
    5,335.34/7,986.58 = 3,148.34/x
  3. Step 3: Cross multiply
    5,335.34x = 7,986.58 × 3,148.34
  4. Step 4: Simplify right side
    5,335.34x = 25,144,469.28
  5. Step 5: Solve for x
    x = 25,144,469.28/5,335.34
  6. Step 6: Final answer
    x = 4,712.81

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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.