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Finding the Fourth Proportional to 3,516, 5,274 and 1,464

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Solution

The fourth proportional to 3,516, 5,274 and 1,464 is: 2,196

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516 : 5,274 = 1,464 : x
  2. Step 2: Convert to fraction form
    3,516/5,274 = 1,464/x
  3. Step 3: Cross multiply
    3,516x = 5,274 × 1,464
  4. Step 4: Simplify right side
    3,516x = 7,721,136
  5. Step 5: Solve for x
    x = 7,721,136/3,516
  6. Step 6: Final answer
    x = 2,196

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.