Home / 3,754.34-5,631.12-1,157

Finding the Fourth Proportional to 3,754.34, 5,631.12 and 1,157

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Solution

The fourth proportional to 3,754.34, 5,631.12 and 1,157 is: 1,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.34 : 5,631.12 = 1,157 : x
  2. Step 2: Convert to fraction form
    3,754.34/5,631.12 = 1,157/x
  3. Step 3: Cross multiply
    3,754.34x = 5,631.12 × 1,157
  4. Step 4: Simplify right side
    3,754.34x = 6,515,205.84
  5. Step 5: Solve for x
    x = 6,515,205.84/3,754.34
  6. Step 6: Final answer
    x = 1,735.38

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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.