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Finding the Fourth Proportional to 3,846.80, 5,309.34 and 2,275.40

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Solution

The fourth proportional to 3,846.80, 5,309.34 and 2,275.40 is: 3,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.80 : 5,309.34 = 2,275.40 : x
  2. Step 2: Convert to fraction form
    3,846.80/5,309.34 = 2,275.40/x
  3. Step 3: Cross multiply
    3,846.80x = 5,309.34 × 2,275.40
  4. Step 4: Simplify right side
    3,846.80x = 12,080,872.24
  5. Step 5: Solve for x
    x = 12,080,872.24/3,846.80
  6. Step 6: Final answer
    x = 3,140.50

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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.