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Finding the Fourth Proportional to 4,995, 7,478.73 and 4,703.67

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Solution

The fourth proportional to 4,995, 7,478.73 and 4,703.67 is: 7,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995 : 7,478.73 = 4,703.67 : x
  2. Step 2: Convert to fraction form
    4,995/7,478.73 = 4,703.67/x
  3. Step 3: Cross multiply
    4,995x = 7,478.73 × 4,703.67
  4. Step 4: Simplify right side
    4,995x = 35,177,477.94
  5. Step 5: Solve for x
    x = 35,177,477.94/4,995
  6. Step 6: Final answer
    x = 7,042.54

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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.