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Finding the Fourth Proportional to 5,756.37, 7,944.92 and 3,366.68

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Solution

The fourth proportional to 5,756.37, 7,944.92 and 3,366.68 is: 4,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.37 : 7,944.92 = 3,366.68 : x
  2. Step 2: Convert to fraction form
    5,756.37/7,944.92 = 3,366.68/x
  3. Step 3: Cross multiply
    5,756.37x = 7,944.92 × 3,366.68
  4. Step 4: Simplify right side
    5,756.37x = 26,747,946.71
  5. Step 5: Solve for x
    x = 26,747,946.71/5,756.37
  6. Step 6: Final answer
    x = 4,646.67

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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.