Home / 3,489.12-5,230.80-2,564.64

Finding the Fourth Proportional to 3,489.12, 5,230.80 and 2,564.64

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Solution

The fourth proportional to 3,489.12, 5,230.80 and 2,564.64 is: 3,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.12 : 5,230.80 = 2,564.64 : x
  2. Step 2: Convert to fraction form
    3,489.12/5,230.80 = 2,564.64/x
  3. Step 3: Cross multiply
    3,489.12x = 5,230.80 × 2,564.64
  4. Step 4: Simplify right side
    3,489.12x = 13,415,118.91
  5. Step 5: Solve for x
    x = 13,415,118.91/3,489.12
  6. Step 6: Final answer
    x = 3,844.84

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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.