Home / 3,755.20-5,634-1,564.16

Finding the Fourth Proportional to 3,755.20, 5,634 and 1,564.16

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Solution

The fourth proportional to 3,755.20, 5,634 and 1,564.16 is: 2,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.20 : 5,634 = 1,564.16 : x
  2. Step 2: Convert to fraction form
    3,755.20/5,634 = 1,564.16/x
  3. Step 3: Cross multiply
    3,755.20x = 5,634 × 1,564.16
  4. Step 4: Simplify right side
    3,755.20x = 8,812,477.44
  5. Step 5: Solve for x
    x = 8,812,477.44/3,755.20
  6. Step 6: Final answer
    x = 2,346.74

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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.