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Finding the Fourth Proportional to 4,915.50, 7,372.50 and 1,628.19

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Solution

The fourth proportional to 4,915.50, 7,372.50 and 1,628.19 is: 2,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915.50 : 7,372.50 = 1,628.19 : x
  2. Step 2: Convert to fraction form
    4,915.50/7,372.50 = 1,628.19/x
  3. Step 3: Cross multiply
    4,915.50x = 7,372.50 × 1,628.19
  4. Step 4: Simplify right side
    4,915.50x = 12,003,830.78
  5. Step 5: Solve for x
    x = 12,003,830.78/4,915.50
  6. Step 6: Final answer
    x = 2,442.04

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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.