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Finding the Fourth Proportional to 3,953.84, 5,931.81 and 1,180.52

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Solution

The fourth proportional to 3,953.84, 5,931.81 and 1,180.52 is: 1,771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.84 : 5,931.81 = 1,180.52 : x
  2. Step 2: Convert to fraction form
    3,953.84/5,931.81 = 1,180.52/x
  3. Step 3: Cross multiply
    3,953.84x = 5,931.81 × 1,180.52
  4. Step 4: Simplify right side
    3,953.84x = 7,002,620.34
  5. Step 5: Solve for x
    x = 7,002,620.34/3,953.84
  6. Step 6: Final answer
    x = 1,771.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.