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Finding the Fourth Proportional to 3,579.96, 5,369.10 and 1,730.16

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Solution

The fourth proportional to 3,579.96, 5,369.10 and 1,730.16 is: 2,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.96 : 5,369.10 = 1,730.16 : x
  2. Step 2: Convert to fraction form
    3,579.96/5,369.10 = 1,730.16/x
  3. Step 3: Cross multiply
    3,579.96x = 5,369.10 × 1,730.16
  4. Step 4: Simplify right side
    3,579.96x = 9,289,402.06
  5. Step 5: Solve for x
    x = 9,289,402.06/3,579.96
  6. Step 6: Final answer
    x = 2,594.83

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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.