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Finding the Fourth Proportional to 3,953.34, 5,928.39 and 1,760.57

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Solution

The fourth proportional to 3,953.34, 5,928.39 and 1,760.57 is: 2,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.34 : 5,928.39 = 1,760.57 : x
  2. Step 2: Convert to fraction form
    3,953.34/5,928.39 = 1,760.57/x
  3. Step 3: Cross multiply
    3,953.34x = 5,928.39 × 1,760.57
  4. Step 4: Simplify right side
    3,953.34x = 10,437,338.17
  5. Step 5: Solve for x
    x = 10,437,338.17/3,953.34
  6. Step 6: Final answer
    x = 2,640.13

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Why These Related Problems?

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