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Finding the Fourth Proportional to 3,285.47, 4,917.64 and 1,723.29

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Solution

The fourth proportional to 3,285.47, 4,917.64 and 1,723.29 is: 2,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.47 : 4,917.64 = 1,723.29 : x
  2. Step 2: Convert to fraction form
    3,285.47/4,917.64 = 1,723.29/x
  3. Step 3: Cross multiply
    3,285.47x = 4,917.64 × 1,723.29
  4. Step 4: Simplify right side
    3,285.47x = 8,474,502.39
  5. Step 5: Solve for x
    x = 8,474,502.39/3,285.47
  6. Step 6: Final answer
    x = 2,579.39

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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.