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Finding the Fourth Proportional to 4,733.93, 7,103.73 and 1,960.64

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Solution

The fourth proportional to 4,733.93, 7,103.73 and 1,960.64 is: 2,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.93 : 7,103.73 = 1,960.64 : x
  2. Step 2: Convert to fraction form
    4,733.93/7,103.73 = 1,960.64/x
  3. Step 3: Cross multiply
    4,733.93x = 7,103.73 × 1,960.64
  4. Step 4: Simplify right side
    4,733.93x = 13,927,857.19
  5. Step 5: Solve for x
    x = 13,927,857.19/4,733.93
  6. Step 6: Final answer
    x = 2,942.13

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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.