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Finding the Fourth Proportional to 3,709.44, 5,544 and 2,931.84

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Solution

The fourth proportional to 3,709.44, 5,544 and 2,931.84 is: 4,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.44 : 5,544 = 2,931.84 : x
  2. Step 2: Convert to fraction form
    3,709.44/5,544 = 2,931.84/x
  3. Step 3: Cross multiply
    3,709.44x = 5,544 × 2,931.84
  4. Step 4: Simplify right side
    3,709.44x = 16,254,120.96
  5. Step 5: Solve for x
    x = 16,254,120.96/3,709.44
  6. Step 6: Final answer
    x = 4,381.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.