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Finding the Fourth Proportional to 4,746, 7,119 and 1,668

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Solution

The fourth proportional to 4,746, 7,119 and 1,668 is: 2,502

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746 : 7,119 = 1,668 : x
  2. Step 2: Convert to fraction form
    4,746/7,119 = 1,668/x
  3. Step 3: Cross multiply
    4,746x = 7,119 × 1,668
  4. Step 4: Simplify right side
    4,746x = 11,874,492
  5. Step 5: Solve for x
    x = 11,874,492/4,746
  6. Step 6: Final answer
    x = 2,502

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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.