Home / 5,604-7,732.26-4,112.16

Finding the Fourth Proportional to 5,604, 7,732.26 and 4,112.16

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Solution

The fourth proportional to 5,604, 7,732.26 and 4,112.16 is: 5,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604 : 7,732.26 = 4,112.16 : x
  2. Step 2: Convert to fraction form
    5,604/7,732.26 = 4,112.16/x
  3. Step 3: Cross multiply
    5,604x = 7,732.26 × 4,112.16
  4. Step 4: Simplify right side
    5,604x = 31,796,290.28
  5. Step 5: Solve for x
    x = 31,796,290.28/5,604
  6. Step 6: Final answer
    x = 5,673.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.