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Finding the Fourth Proportional to 3,846.32, 5,304.60 and 3,100

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Solution

The fourth proportional to 3,846.32, 5,304.60 and 3,100 is: 4,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.32 : 5,304.60 = 3,100 : x
  2. Step 2: Convert to fraction form
    3,846.32/5,304.60 = 3,100/x
  3. Step 3: Cross multiply
    3,846.32x = 5,304.60 × 3,100
  4. Step 4: Simplify right side
    3,846.32x = 16,444,260.00
  5. Step 5: Solve for x
    x = 16,444,260.00/3,846.32
  6. Step 6: Final answer
    x = 4,275.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.