Home / 5,209.52-7,814.33-2,287.14

Finding the Fourth Proportional to 5,209.52, 7,814.33 and 2,287.14

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Solution

The fourth proportional to 5,209.52, 7,814.33 and 2,287.14 is: 3,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.52 : 7,814.33 = 2,287.14 : x
  2. Step 2: Convert to fraction form
    5,209.52/7,814.33 = 2,287.14/x
  3. Step 3: Cross multiply
    5,209.52x = 7,814.33 × 2,287.14
  4. Step 4: Simplify right side
    5,209.52x = 17,872,455.28
  5. Step 5: Solve for x
    x = 17,872,455.28/5,209.52
  6. Step 6: Final answer
    x = 3,430.73

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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.