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Finding the Fourth Proportional to 5,236.66, 7,842.03 and 3,038.73

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Solution

The fourth proportional to 5,236.66, 7,842.03 and 3,038.73 is: 4,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.66 : 7,842.03 = 3,038.73 : x
  2. Step 2: Convert to fraction form
    5,236.66/7,842.03 = 3,038.73/x
  3. Step 3: Cross multiply
    5,236.66x = 7,842.03 × 3,038.73
  4. Step 4: Simplify right side
    5,236.66x = 23,829,771.02
  5. Step 5: Solve for x
    x = 23,829,771.02/5,236.66
  6. Step 6: Final answer
    x = 4,550.57

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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.