Home / 3,494.24-5,238-1,412.96

Finding the Fourth Proportional to 3,494.24, 5,238 and 1,412.96

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Solution

The fourth proportional to 3,494.24, 5,238 and 1,412.96 is: 2,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.24 : 5,238 = 1,412.96 : x
  2. Step 2: Convert to fraction form
    3,494.24/5,238 = 1,412.96/x
  3. Step 3: Cross multiply
    3,494.24x = 5,238 × 1,412.96
  4. Step 4: Simplify right side
    3,494.24x = 7,401,084.48
  5. Step 5: Solve for x
    x = 7,401,084.48/3,494.24
  6. Step 6: Final answer
    x = 2,118.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.