Home / 3,755.97-5,632.79-1,564.16

Finding the Fourth Proportional to 3,755.97, 5,632.79 and 1,564.16

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Solution

The fourth proportional to 3,755.97, 5,632.79 and 1,564.16 is: 2,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.97 : 5,632.79 = 1,564.16 : x
  2. Step 2: Convert to fraction form
    3,755.97/5,632.79 = 1,564.16/x
  3. Step 3: Cross multiply
    3,755.97x = 5,632.79 × 1,564.16
  4. Step 4: Simplify right side
    3,755.97x = 8,810,548.82
  5. Step 5: Solve for x
    x = 8,810,548.82/3,755.97
  6. Step 6: Final answer
    x = 2,345.75

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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.