Home / 3,755.46-5,635.74-1,564.14

Finding the Fourth Proportional to 3,755.46, 5,635.74 and 1,564.14

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Solution

The fourth proportional to 3,755.46, 5,635.74 and 1,564.14 is: 2,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.46 : 5,635.74 = 1,564.14 : x
  2. Step 2: Convert to fraction form
    3,755.46/5,635.74 = 1,564.14/x
  3. Step 3: Cross multiply
    3,755.46x = 5,635.74 × 1,564.14
  4. Step 4: Simplify right side
    3,755.46x = 8,815,086.36
  5. Step 5: Solve for x
    x = 8,815,086.36/3,755.46
  6. Step 6: Final answer
    x = 2,347.27

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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.