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Finding the Fourth Proportional to 5,835.51, 8,053.16 and 3,182.96

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Solution

The fourth proportional to 5,835.51, 8,053.16 and 3,182.96 is: 4,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.51 : 8,053.16 = 3,182.96 : x
  2. Step 2: Convert to fraction form
    5,835.51/8,053.16 = 3,182.96/x
  3. Step 3: Cross multiply
    5,835.51x = 8,053.16 × 3,182.96
  4. Step 4: Simplify right side
    5,835.51x = 25,632,890.37
  5. Step 5: Solve for x
    x = 25,632,890.37/5,835.51
  6. Step 6: Final answer
    x = 4,392.57

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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.