Home / 4,142.13-6,213.20-1,406.13

Finding the Fourth Proportional to 4,142.13, 6,213.20 and 1,406.13

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Solution

The fourth proportional to 4,142.13, 6,213.20 and 1,406.13 is: 2,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.13 : 6,213.20 = 1,406.13 : x
  2. Step 2: Convert to fraction form
    4,142.13/6,213.20 = 1,406.13/x
  3. Step 3: Cross multiply
    4,142.13x = 6,213.20 × 1,406.13
  4. Step 4: Simplify right side
    4,142.13x = 8,736,566.92
  5. Step 5: Solve for x
    x = 8,736,566.92/4,142.13
  6. Step 6: Final answer
    x = 2,109.20

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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.