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Finding the Fourth Proportional to 4,920, 7,380 and 2,184

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Solution

The fourth proportional to 4,920, 7,380 and 2,184 is: 3,276

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920 : 7,380 = 2,184 : x
  2. Step 2: Convert to fraction form
    4,920/7,380 = 2,184/x
  3. Step 3: Cross multiply
    4,920x = 7,380 × 2,184
  4. Step 4: Simplify right side
    4,920x = 16,117,920
  5. Step 5: Solve for x
    x = 16,117,920/4,920
  6. Step 6: Final answer
    x = 3,276

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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.