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Finding the Fourth Proportional to 4,289.09, 6,433.70 and 1,692

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Solution

The fourth proportional to 4,289.09, 6,433.70 and 1,692 is: 2,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.09 : 6,433.70 = 1,692 : x
  2. Step 2: Convert to fraction form
    4,289.09/6,433.70 = 1,692/x
  3. Step 3: Cross multiply
    4,289.09x = 6,433.70 × 1,692
  4. Step 4: Simplify right side
    4,289.09x = 10,885,811.94
  5. Step 5: Solve for x
    x = 10,885,811.94/4,289.09
  6. Step 6: Final answer
    x = 2,538.03

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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.