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Finding the Fourth Proportional to 3,289.34, 4,929.74 and 1,725.38

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Solution

The fourth proportional to 3,289.34, 4,929.74 and 1,725.38 is: 2,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.34 : 4,929.74 = 1,725.38 : x
  2. Step 2: Convert to fraction form
    3,289.34/4,929.74 = 1,725.38/x
  3. Step 3: Cross multiply
    3,289.34x = 4,929.74 × 1,725.38
  4. Step 4: Simplify right side
    3,289.34x = 8,505,674.80
  5. Step 5: Solve for x
    x = 8,505,674.80/3,289.34
  6. Step 6: Final answer
    x = 2,585.83

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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.