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Finding the Fourth Proportional to 5,603.96, 7,733.40 and 3,245.24

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Solution

The fourth proportional to 5,603.96, 7,733.40 and 3,245.24 is: 4,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.96 : 7,733.40 = 3,245.24 : x
  2. Step 2: Convert to fraction form
    5,603.96/7,733.40 = 3,245.24/x
  3. Step 3: Cross multiply
    5,603.96x = 7,733.40 × 3,245.24
  4. Step 4: Simplify right side
    5,603.96x = 25,096,739.02
  5. Step 5: Solve for x
    x = 25,096,739.02/5,603.96
  6. Step 6: Final answer
    x = 4,478.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.