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Finding the Fourth Proportional to 4,684.50, 7,015.98 and 2,337.30

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Solution

The fourth proportional to 4,684.50, 7,015.98 and 2,337.30 is: 3,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.50 : 7,015.98 = 2,337.30 : x
  2. Step 2: Convert to fraction form
    4,684.50/7,015.98 = 2,337.30/x
  3. Step 3: Cross multiply
    4,684.50x = 7,015.98 × 2,337.30
  4. Step 4: Simplify right side
    4,684.50x = 16,398,450.05
  5. Step 5: Solve for x
    x = 16,398,450.05/4,684.50
  6. Step 6: Final answer
    x = 3,500.58

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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.