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Finding the Fourth Proportional to 3,232.41, 4,845.44 and 1,039.68

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Solution

The fourth proportional to 3,232.41, 4,845.44 and 1,039.68 is: 1,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.41 : 4,845.44 = 1,039.68 : x
  2. Step 2: Convert to fraction form
    3,232.41/4,845.44 = 1,039.68/x
  3. Step 3: Cross multiply
    3,232.41x = 4,845.44 × 1,039.68
  4. Step 4: Simplify right side
    3,232.41x = 5,037,701.86
  5. Step 5: Solve for x
    x = 5,037,701.86/3,232.41
  6. Step 6: Final answer
    x = 1,558.50

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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.