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Finding the Fourth Proportional to 3,518, 5,277 and 1,466

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Solution

The fourth proportional to 3,518, 5,277 and 1,466 is: 2,199

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518 : 5,277 = 1,466 : x
  2. Step 2: Convert to fraction form
    3,518/5,277 = 1,466/x
  3. Step 3: Cross multiply
    3,518x = 5,277 × 1,466
  4. Step 4: Simplify right side
    3,518x = 7,736,082
  5. Step 5: Solve for x
    x = 7,736,082/3,518
  6. Step 6: Final answer
    x = 2,199

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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.