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Finding the Fourth Proportional to 5,617, 7,751.46 and 3,133

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Solution

The fourth proportional to 5,617, 7,751.46 and 3,133 is: 4,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617 : 7,751.46 = 3,133 : x
  2. Step 2: Convert to fraction form
    5,617/7,751.46 = 3,133/x
  3. Step 3: Cross multiply
    5,617x = 7,751.46 × 3,133
  4. Step 4: Simplify right side
    5,617x = 24,285,324.18
  5. Step 5: Solve for x
    x = 24,285,324.18/5,617
  6. Step 6: Final answer
    x = 4,323.54

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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.