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Finding the Fourth Proportional to 5,618.32, 7,753 and 3,133.84

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Solution

The fourth proportional to 5,618.32, 7,753 and 3,133.84 is: 4,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.32 : 7,753 = 3,133.84 : x
  2. Step 2: Convert to fraction form
    5,618.32/7,753 = 3,133.84/x
  3. Step 3: Cross multiply
    5,618.32x = 7,753 × 3,133.84
  4. Step 4: Simplify right side
    5,618.32x = 24,296,661.52
  5. Step 5: Solve for x
    x = 24,296,661.52/5,618.32
  6. Step 6: Final answer
    x = 4,324.54

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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.