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Finding the Fourth Proportional to 4,196.61, 5,793.73 and 3,420.23

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Solution

The fourth proportional to 4,196.61, 5,793.73 and 3,420.23 is: 4,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.61 : 5,793.73 = 3,420.23 : x
  2. Step 2: Convert to fraction form
    4,196.61/5,793.73 = 3,420.23/x
  3. Step 3: Cross multiply
    4,196.61x = 5,793.73 × 3,420.23
  4. Step 4: Simplify right side
    4,196.61x = 19,815,851.64
  5. Step 5: Solve for x
    x = 19,815,851.64/4,196.61
  6. Step 6: Final answer
    x = 4,721.87

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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.