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Finding the Fourth Proportional to 5,953.41, 8,196.98 and 5,055.38

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Solution

The fourth proportional to 5,953.41, 8,196.98 and 5,055.38 is: 6,960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.41 : 8,196.98 = 5,055.38 : x
  2. Step 2: Convert to fraction form
    5,953.41/8,196.98 = 5,055.38/x
  3. Step 3: Cross multiply
    5,953.41x = 8,196.98 × 5,055.38
  4. Step 4: Simplify right side
    5,953.41x = 41,438,782.49
  5. Step 5: Solve for x
    x = 41,438,782.49/5,953.41
  6. Step 6: Final answer
    x = 6,960.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.