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Finding the Fourth Proportional to 5,271.94, 7,275.14 and 2,881.80

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Solution

The fourth proportional to 5,271.94, 7,275.14 and 2,881.80 is: 3,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.94 : 7,275.14 = 2,881.80 : x
  2. Step 2: Convert to fraction form
    5,271.94/7,275.14 = 2,881.80/x
  3. Step 3: Cross multiply
    5,271.94x = 7,275.14 × 2,881.80
  4. Step 4: Simplify right side
    5,271.94x = 20,965,498.45
  5. Step 5: Solve for x
    x = 20,965,498.45/5,271.94
  6. Step 6: Final answer
    x = 3,976.81

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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.