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Finding the Fourth Proportional to 5,156.14, 7,734.22 and 1,693.40

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Solution

The fourth proportional to 5,156.14, 7,734.22 and 1,693.40 is: 2,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.14 : 7,734.22 = 1,693.40 : x
  2. Step 2: Convert to fraction form
    5,156.14/7,734.22 = 1,693.40/x
  3. Step 3: Cross multiply
    5,156.14x = 7,734.22 × 1,693.40
  4. Step 4: Simplify right side
    5,156.14x = 13,097,128.15
  5. Step 5: Solve for x
    x = 13,097,128.15/5,156.14
  6. Step 6: Final answer
    x = 2,540.10

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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.