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Finding the Fourth Proportional to 5,490.25, 8,235.60 and 1,594.65

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Solution

The fourth proportional to 5,490.25, 8,235.60 and 1,594.65 is: 2,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.25 : 8,235.60 = 1,594.65 : x
  2. Step 2: Convert to fraction form
    5,490.25/8,235.60 = 1,594.65/x
  3. Step 3: Cross multiply
    5,490.25x = 8,235.60 × 1,594.65
  4. Step 4: Simplify right side
    5,490.25x = 13,132,891.57
  5. Step 5: Solve for x
    x = 13,132,891.57/5,490.25
  6. Step 6: Final answer
    x = 2,392.04

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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.