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Finding the Fourth Proportional to 5,937.48, 8,193.80 and 3,419.64

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Solution

The fourth proportional to 5,937.48, 8,193.80 and 3,419.64 is: 4,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.48 : 8,193.80 = 3,419.64 : x
  2. Step 2: Convert to fraction form
    5,937.48/8,193.80 = 3,419.64/x
  3. Step 3: Cross multiply
    5,937.48x = 8,193.80 × 3,419.64
  4. Step 4: Simplify right side
    5,937.48x = 28,019,846.23
  5. Step 5: Solve for x
    x = 28,019,846.23/5,937.48
  6. Step 6: Final answer
    x = 4,719.15

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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.