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Finding the Fourth Proportional to 5,733.84, 7,913.48 and 3,250

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Solution

The fourth proportional to 5,733.84, 7,913.48 and 3,250 is: 4,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.84 : 7,913.48 = 3,250 : x
  2. Step 2: Convert to fraction form
    5,733.84/7,913.48 = 3,250/x
  3. Step 3: Cross multiply
    5,733.84x = 7,913.48 × 3,250
  4. Step 4: Simplify right side
    5,733.84x = 25,718,810
  5. Step 5: Solve for x
    x = 25,718,810/5,733.84
  6. Step 6: Final answer
    x = 4,485.44

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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.