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Finding the Fourth Proportional to 5,271.37, 7,274.47 and 3,002.71

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Solution

The fourth proportional to 5,271.37, 7,274.47 and 3,002.71 is: 4,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.37 : 7,274.47 = 3,002.71 : x
  2. Step 2: Convert to fraction form
    5,271.37/7,274.47 = 3,002.71/x
  3. Step 3: Cross multiply
    5,271.37x = 7,274.47 × 3,002.71
  4. Step 4: Simplify right side
    5,271.37x = 21,843,116.89
  5. Step 5: Solve for x
    x = 21,843,116.89/5,271.37
  6. Step 6: Final answer
    x = 4,143.73

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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.