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Finding the Fourth Proportional to 5,974.96, 8,233.80 and 4,484.56

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Solution

The fourth proportional to 5,974.96, 8,233.80 and 4,484.56 is: 6,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.96 : 8,233.80 = 4,484.56 : x
  2. Step 2: Convert to fraction form
    5,974.96/8,233.80 = 4,484.56/x
  3. Step 3: Cross multiply
    5,974.96x = 8,233.80 × 4,484.56
  4. Step 4: Simplify right side
    5,974.96x = 36,924,970.13
  5. Step 5: Solve for x
    x = 36,924,970.13/5,974.96
  6. Step 6: Final answer
    x = 6,179.95

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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.