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Finding the Fourth Proportional to 3,920, 5,409.84 and 2,264

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Solution

The fourth proportional to 3,920, 5,409.84 and 2,264 is: 3,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920 : 5,409.84 = 2,264 : x
  2. Step 2: Convert to fraction form
    3,920/5,409.84 = 2,264/x
  3. Step 3: Cross multiply
    3,920x = 5,409.84 × 2,264
  4. Step 4: Simplify right side
    3,920x = 12,247,877.76
  5. Step 5: Solve for x
    x = 12,247,877.76/3,920
  6. Step 6: Final answer
    x = 3,124.46

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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.