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Finding the Fourth Proportional to 5,694.80, 7,847.16 and 4,200.35

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Solution

The fourth proportional to 5,694.80, 7,847.16 and 4,200.35 is: 5,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.80 : 7,847.16 = 4,200.35 : x
  2. Step 2: Convert to fraction form
    5,694.80/7,847.16 = 4,200.35/x
  3. Step 3: Cross multiply
    5,694.80x = 7,847.16 × 4,200.35
  4. Step 4: Simplify right side
    5,694.80x = 32,960,818.51
  5. Step 5: Solve for x
    x = 32,960,818.51/5,694.80
  6. Step 6: Final answer
    x = 5,787.88

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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.