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Finding the Fourth Proportional to 5,626.57, 8,439.64 and 1,730.88

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Solution

The fourth proportional to 5,626.57, 8,439.64 and 1,730.88 is: 2,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.57 : 8,439.64 = 1,730.88 : x
  2. Step 2: Convert to fraction form
    5,626.57/8,439.64 = 1,730.88/x
  3. Step 3: Cross multiply
    5,626.57x = 8,439.64 × 1,730.88
  4. Step 4: Simplify right side
    5,626.57x = 14,608,004.08
  5. Step 5: Solve for x
    x = 14,608,004.08/5,626.57
  6. Step 6: Final answer
    x = 2,596.25

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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.