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Finding the Fourth Proportional to 4,134.04, 5,704.90 and 2,271

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Solution

The fourth proportional to 4,134.04, 5,704.90 and 2,271 is: 3,133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.04 : 5,704.90 = 2,271 : x
  2. Step 2: Convert to fraction form
    4,134.04/5,704.90 = 2,271/x
  3. Step 3: Cross multiply
    4,134.04x = 5,704.90 × 2,271
  4. Step 4: Simplify right side
    4,134.04x = 12,955,827.90
  5. Step 5: Solve for x
    x = 12,955,827.90/4,134.04
  6. Step 6: Final answer
    x = 3,133.94

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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.