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Finding the Fourth Proportional to 5,937.30, 8,193.15 and 3,419.55

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Solution

The fourth proportional to 5,937.30, 8,193.15 and 3,419.55 is: 4,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.30 : 8,193.15 = 3,419.55 : x
  2. Step 2: Convert to fraction form
    5,937.30/8,193.15 = 3,419.55/x
  3. Step 3: Cross multiply
    5,937.30x = 8,193.15 × 3,419.55
  4. Step 4: Simplify right side
    5,937.30x = 28,016,886.08
  5. Step 5: Solve for x
    x = 28,016,886.08/5,937.30
  6. Step 6: Final answer
    x = 4,718.79

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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.