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Finding the Fourth Proportional to 3,399.84, 5,093.28 and 3,240

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Solution

The fourth proportional to 3,399.84, 5,093.28 and 3,240 is: 4,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.84 : 5,093.28 = 3,240 : x
  2. Step 2: Convert to fraction form
    3,399.84/5,093.28 = 3,240/x
  3. Step 3: Cross multiply
    3,399.84x = 5,093.28 × 3,240
  4. Step 4: Simplify right side
    3,399.84x = 16,502,227.20
  5. Step 5: Solve for x
    x = 16,502,227.20/3,399.84
  6. Step 6: Final answer
    x = 4,853.82

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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.