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Finding the Fourth Proportional to 5,490.65, 8,236.78 and 1,594.55

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Solution

The fourth proportional to 5,490.65, 8,236.78 and 1,594.55 is: 2,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.65 : 8,236.78 = 1,594.55 : x
  2. Step 2: Convert to fraction form
    5,490.65/8,236.78 = 1,594.55/x
  3. Step 3: Cross multiply
    5,490.65x = 8,236.78 × 1,594.55
  4. Step 4: Simplify right side
    5,490.65x = 13,133,957.55
  5. Step 5: Solve for x
    x = 13,133,957.55/5,490.65
  6. Step 6: Final answer
    x = 2,392.06

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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.