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Finding the Fourth Proportional to 4,847.97, 7,271 and 1,337.07

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Solution

The fourth proportional to 4,847.97, 7,271 and 1,337.07 is: 2,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.97 : 7,271 = 1,337.07 : x
  2. Step 2: Convert to fraction form
    4,847.97/7,271 = 1,337.07/x
  3. Step 3: Cross multiply
    4,847.97x = 7,271 × 1,337.07
  4. Step 4: Simplify right side
    4,847.97x = 9,721,835.97
  5. Step 5: Solve for x
    x = 9,721,835.97/4,847.97
  6. Step 6: Final answer
    x = 2,005.34

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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.