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Finding the Fourth Proportional to 5,603.42, 7,732.05 and 3,245.24

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Solution

The fourth proportional to 5,603.42, 7,732.05 and 3,245.24 is: 4,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.42 : 7,732.05 = 3,245.24 : x
  2. Step 2: Convert to fraction form
    5,603.42/7,732.05 = 3,245.24/x
  3. Step 3: Cross multiply
    5,603.42x = 7,732.05 × 3,245.24
  4. Step 4: Simplify right side
    5,603.42x = 25,092,357.94
  5. Step 5: Solve for x
    x = 25,092,357.94/5,603.42
  6. Step 6: Final answer
    x = 4,478.04

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