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Finding the Fourth Proportional to 5,972.66, 8,245.95 and 3,848.94

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Solution

The fourth proportional to 5,972.66, 8,245.95 and 3,848.94 is: 5,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.66 : 8,245.95 = 3,848.94 : x
  2. Step 2: Convert to fraction form
    5,972.66/8,245.95 = 3,848.94/x
  3. Step 3: Cross multiply
    5,972.66x = 8,245.95 × 3,848.94
  4. Step 4: Simplify right side
    5,972.66x = 31,738,125.56
  5. Step 5: Solve for x
    x = 31,738,125.56/5,972.66
  6. Step 6: Final answer
    x = 5,313.91

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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.