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Finding the Fourth Proportional to 5,947.64, 8,921.92 and 1,787.32

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Solution

The fourth proportional to 5,947.64, 8,921.92 and 1,787.32 is: 2,681.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.64 : 8,921.92 = 1,787.32 : x
  2. Step 2: Convert to fraction form
    5,947.64/8,921.92 = 1,787.32/x
  3. Step 3: Cross multiply
    5,947.64x = 8,921.92 × 1,787.32
  4. Step 4: Simplify right side
    5,947.64x = 15,946,326.05
  5. Step 5: Solve for x
    x = 15,946,326.05/5,947.64
  6. Step 6: Final answer
    x = 2,681.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.