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Finding the Fourth Proportional to 4,489.48, 6,733.72 and 1,157.77

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Solution

The fourth proportional to 4,489.48, 6,733.72 and 1,157.77 is: 1,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.48 : 6,733.72 = 1,157.77 : x
  2. Step 2: Convert to fraction form
    4,489.48/6,733.72 = 1,157.77/x
  3. Step 3: Cross multiply
    4,489.48x = 6,733.72 × 1,157.77
  4. Step 4: Simplify right side
    4,489.48x = 7,796,099.00
  5. Step 5: Solve for x
    x = 7,796,099.00/4,489.48
  6. Step 6: Final answer
    x = 1,736.53

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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.