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Finding the Fourth Proportional to 4,846.92, 7,208.64 and 4,795.08

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Solution

The fourth proportional to 4,846.92, 7,208.64 and 4,795.08 is: 7,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.92 : 7,208.64 = 4,795.08 : x
  2. Step 2: Convert to fraction form
    4,846.92/7,208.64 = 4,795.08/x
  3. Step 3: Cross multiply
    4,846.92x = 7,208.64 × 4,795.08
  4. Step 4: Simplify right side
    4,846.92x = 34,566,005.49
  5. Step 5: Solve for x
    x = 34,566,005.49/4,846.92
  6. Step 6: Final answer
    x = 7,131.54

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Why These Related Problems?

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