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Finding the Fourth Proportional to 5,937.48, 8,193.42 and 3,420

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Solution

The fourth proportional to 5,937.48, 8,193.42 and 3,420 is: 4,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.48 : 8,193.42 = 3,420 : x
  2. Step 2: Convert to fraction form
    5,937.48/8,193.42 = 3,420/x
  3. Step 3: Cross multiply
    5,937.48x = 8,193.42 × 3,420
  4. Step 4: Simplify right side
    5,937.48x = 28,021,496.40
  5. Step 5: Solve for x
    x = 28,021,496.40/5,937.48
  6. Step 6: Final answer
    x = 4,719.43

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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.