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Finding the Fourth Proportional to 5,162.96, 7,124.77 and 3,009.37

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Solution

The fourth proportional to 5,162.96, 7,124.77 and 3,009.37 is: 4,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.96 : 7,124.77 = 3,009.37 : x
  2. Step 2: Convert to fraction form
    5,162.96/7,124.77 = 3,009.37/x
  3. Step 3: Cross multiply
    5,162.96x = 7,124.77 × 3,009.37
  4. Step 4: Simplify right side
    5,162.96x = 21,441,069.09
  5. Step 5: Solve for x
    x = 21,441,069.09/5,162.96
  6. Step 6: Final answer
    x = 4,152.86

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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.