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Finding the Fourth Proportional to 4,903.24, 7,354.62 and 1,825

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Solution

The fourth proportional to 4,903.24, 7,354.62 and 1,825 is: 2,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.24 : 7,354.62 = 1,825 : x
  2. Step 2: Convert to fraction form
    4,903.24/7,354.62 = 1,825/x
  3. Step 3: Cross multiply
    4,903.24x = 7,354.62 × 1,825
  4. Step 4: Simplify right side
    4,903.24x = 13,422,181.50
  5. Step 5: Solve for x
    x = 13,422,181.50/4,903.24
  6. Step 6: Final answer
    x = 2,737.41

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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.