Home / 4,007-6,010.20-1,409.96

Finding the Fourth Proportional to 4,007, 6,010.20 and 1,409.96

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Solution

The fourth proportional to 4,007, 6,010.20 and 1,409.96 is: 2,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007 : 6,010.20 = 1,409.96 : x
  2. Step 2: Convert to fraction form
    4,007/6,010.20 = 1,409.96/x
  3. Step 3: Cross multiply
    4,007x = 6,010.20 × 1,409.96
  4. Step 4: Simplify right side
    4,007x = 8,474,141.59
  5. Step 5: Solve for x
    x = 8,474,141.59/4,007
  6. Step 6: Final answer
    x = 2,114.83

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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.