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Finding the Fourth Proportional to 5,973.32, 8,236.54 and 4,085.21

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Solution

The fourth proportional to 5,973.32, 8,236.54 and 4,085.21 is: 5,633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.32 : 8,236.54 = 4,085.21 : x
  2. Step 2: Convert to fraction form
    5,973.32/8,236.54 = 4,085.21/x
  3. Step 3: Cross multiply
    5,973.32x = 8,236.54 × 4,085.21
  4. Step 4: Simplify right side
    5,973.32x = 33,647,995.57
  5. Step 5: Solve for x
    x = 33,647,995.57/5,973.32
  6. Step 6: Final answer
    x = 5,633.05

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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.