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Finding the Fourth Proportional to 5,787.60, 7,991.46 and 5,345.32

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Solution

The fourth proportional to 5,787.60, 7,991.46 and 5,345.32 is: 7,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.60 : 7,991.46 = 5,345.32 : x
  2. Step 2: Convert to fraction form
    5,787.60/7,991.46 = 5,345.32/x
  3. Step 3: Cross multiply
    5,787.60x = 7,991.46 × 5,345.32
  4. Step 4: Simplify right side
    5,787.60x = 42,716,910.97
  5. Step 5: Solve for x
    x = 42,716,910.97/5,787.60
  6. Step 6: Final answer
    x = 7,380.76

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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.