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Finding the Fourth Proportional to 4,815.64, 7,217.70 and 1,735.96

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Solution

The fourth proportional to 4,815.64, 7,217.70 and 1,735.96 is: 2,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.64 : 7,217.70 = 1,735.96 : x
  2. Step 2: Convert to fraction form
    4,815.64/7,217.70 = 1,735.96/x
  3. Step 3: Cross multiply
    4,815.64x = 7,217.70 × 1,735.96
  4. Step 4: Simplify right side
    4,815.64x = 12,529,638.49
  5. Step 5: Solve for x
    x = 12,529,638.49/4,815.64
  6. Step 6: Final answer
    x = 2,601.86

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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.