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Finding the Fourth Proportional to 5,103.56, 7,650 and 3,460.20

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Solution

The fourth proportional to 5,103.56, 7,650 and 3,460.20 is: 5,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.56 : 7,650 = 3,460.20 : x
  2. Step 2: Convert to fraction form
    5,103.56/7,650 = 3,460.20/x
  3. Step 3: Cross multiply
    5,103.56x = 7,650 × 3,460.20
  4. Step 4: Simplify right side
    5,103.56x = 26,470,530
  5. Step 5: Solve for x
    x = 26,470,530/5,103.56
  6. Step 6: Final answer
    x = 5,186.68

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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.