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Finding the Fourth Proportional to 5,743.76, 7,924.46 and 3,225.37

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Solution

The fourth proportional to 5,743.76, 7,924.46 and 3,225.37 is: 4,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.76 : 7,924.46 = 3,225.37 : x
  2. Step 2: Convert to fraction form
    5,743.76/7,924.46 = 3,225.37/x
  3. Step 3: Cross multiply
    5,743.76x = 7,924.46 × 3,225.37
  4. Step 4: Simplify right side
    5,743.76x = 25,559,303.54
  5. Step 5: Solve for x
    x = 25,559,303.54/5,743.76
  6. Step 6: Final answer
    x = 4,449.92

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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.