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Finding the Fourth Proportional to 5,416.34, 7,474.50 and 2,932.34

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Solution

The fourth proportional to 5,416.34, 7,474.50 and 2,932.34 is: 4,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.34 : 7,474.50 = 2,932.34 : x
  2. Step 2: Convert to fraction form
    5,416.34/7,474.50 = 2,932.34/x
  3. Step 3: Cross multiply
    5,416.34x = 7,474.50 × 2,932.34
  4. Step 4: Simplify right side
    5,416.34x = 21,917,737.96
  5. Step 5: Solve for x
    x = 21,917,737.96/5,416.34
  6. Step 6: Final answer
    x = 4,046.60

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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.