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Finding the Fourth Proportional to 4,449.60, 6,134.40 and 3,749.76

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Solution

The fourth proportional to 4,449.60, 6,134.40 and 3,749.76 is: 5,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.60 : 6,134.40 = 3,749.76 : x
  2. Step 2: Convert to fraction form
    4,449.60/6,134.40 = 3,749.76/x
  3. Step 3: Cross multiply
    4,449.60x = 6,134.40 × 3,749.76
  4. Step 4: Simplify right side
    4,449.60x = 23,002,527.74
  5. Step 5: Solve for x
    x = 23,002,527.74/4,449.60
  6. Step 6: Final answer
    x = 5,169.57

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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.