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Finding the Fourth Proportional to 4,614.78, 6,916.69 and 3,515.74

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Solution

The fourth proportional to 4,614.78, 6,916.69 and 3,515.74 is: 5,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.78 : 6,916.69 = 3,515.74 : x
  2. Step 2: Convert to fraction form
    4,614.78/6,916.69 = 3,515.74/x
  3. Step 3: Cross multiply
    4,614.78x = 6,916.69 × 3,515.74
  4. Step 4: Simplify right side
    4,614.78x = 24,317,283.70
  5. Step 5: Solve for x
    x = 24,317,283.70/4,614.78
  6. Step 6: Final answer
    x = 5,269.44

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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.