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Finding the Fourth Proportional to 5,199.40, 7,797.03 and 3,009.67

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Solution

The fourth proportional to 5,199.40, 7,797.03 and 3,009.67 is: 4,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.40 : 7,797.03 = 3,009.67 : x
  2. Step 2: Convert to fraction form
    5,199.40/7,797.03 = 3,009.67/x
  3. Step 3: Cross multiply
    5,199.40x = 7,797.03 × 3,009.67
  4. Step 4: Simplify right side
    5,199.40x = 23,466,456.50
  5. Step 5: Solve for x
    x = 23,466,456.50/5,199.40
  6. Step 6: Final answer
    x = 4,513.30

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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.