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Finding the Fourth Proportional to 4,600.67, 6,901.70 and 2,135.75

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Solution

The fourth proportional to 4,600.67, 6,901.70 and 2,135.75 is: 3,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.67 : 6,901.70 = 2,135.75 : x
  2. Step 2: Convert to fraction form
    4,600.67/6,901.70 = 2,135.75/x
  3. Step 3: Cross multiply
    4,600.67x = 6,901.70 × 2,135.75
  4. Step 4: Simplify right side
    4,600.67x = 14,740,305.78
  5. Step 5: Solve for x
    x = 14,740,305.78/4,600.67
  6. Step 6: Final answer
    x = 3,203.95

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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.