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Finding the Fourth Proportional to 3,512.16, 4,838.16 and 3,324

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Solution

The fourth proportional to 3,512.16, 4,838.16 and 3,324 is: 4,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.16 : 4,838.16 = 3,324 : x
  2. Step 2: Convert to fraction form
    3,512.16/4,838.16 = 3,324/x
  3. Step 3: Cross multiply
    3,512.16x = 4,838.16 × 3,324
  4. Step 4: Simplify right side
    3,512.16x = 16,082,043.84
  5. Step 5: Solve for x
    x = 16,082,043.84/3,512.16
  6. Step 6: Final answer
    x = 4,578.96

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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.