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Finding the Fourth Proportional to 5,626.96, 8,441.64 and 1,731.28

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Solution

The fourth proportional to 5,626.96, 8,441.64 and 1,731.28 is: 2,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.96 : 8,441.64 = 1,731.28 : x
  2. Step 2: Convert to fraction form
    5,626.96/8,441.64 = 1,731.28/x
  3. Step 3: Cross multiply
    5,626.96x = 8,441.64 × 1,731.28
  4. Step 4: Simplify right side
    5,626.96x = 14,614,842.50
  5. Step 5: Solve for x
    x = 14,614,842.50/5,626.96
  6. Step 6: Final answer
    x = 2,597.29

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Why These Related Problems?

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