Home / 5,052.96-7,584-3,207.42

Finding the Fourth Proportional to 5,052.96, 7,584 and 3,207.42

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Solution

The fourth proportional to 5,052.96, 7,584 and 3,207.42 is: 4,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.96 : 7,584 = 3,207.42 : x
  2. Step 2: Convert to fraction form
    5,052.96/7,584 = 3,207.42/x
  3. Step 3: Cross multiply
    5,052.96x = 7,584 × 3,207.42
  4. Step 4: Simplify right side
    5,052.96x = 24,325,073.28
  5. Step 5: Solve for x
    x = 24,325,073.28/5,052.96
  6. Step 6: Final answer
    x = 4,814.02

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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.