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Finding the Fourth Proportional to 4,611, 6,916.68 and 1,839

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Solution

The fourth proportional to 4,611, 6,916.68 and 1,839 is: 2,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611 : 6,916.68 = 1,839 : x
  2. Step 2: Convert to fraction form
    4,611/6,916.68 = 1,839/x
  3. Step 3: Cross multiply
    4,611x = 6,916.68 × 1,839
  4. Step 4: Simplify right side
    4,611x = 12,719,774.52
  5. Step 5: Solve for x
    x = 12,719,774.52/4,611
  6. Step 6: Final answer
    x = 2,758.57

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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.