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Finding the Fourth Proportional to 5,157, 7,735.68 and 1,694.52

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Solution

The fourth proportional to 5,157, 7,735.68 and 1,694.52 is: 2,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157 : 7,735.68 = 1,694.52 : x
  2. Step 2: Convert to fraction form
    5,157/7,735.68 = 1,694.52/x
  3. Step 3: Cross multiply
    5,157x = 7,735.68 × 1,694.52
  4. Step 4: Simplify right side
    5,157x = 13,108,264.47
  5. Step 5: Solve for x
    x = 13,108,264.47/5,157
  6. Step 6: Final answer
    x = 2,541.84

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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.