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Finding the Fourth Proportional to 5,905.80, 8,148.06 and 3,811.32

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Solution

The fourth proportional to 5,905.80, 8,148.06 and 3,811.32 is: 5,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.80 : 8,148.06 = 3,811.32 : x
  2. Step 2: Convert to fraction form
    5,905.80/8,148.06 = 3,811.32/x
  3. Step 3: Cross multiply
    5,905.80x = 8,148.06 × 3,811.32
  4. Step 4: Simplify right side
    5,905.80x = 31,054,864.04
  5. Step 5: Solve for x
    x = 31,054,864.04/5,905.80
  6. Step 6: Final answer
    x = 5,258.37

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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.