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Finding the Fourth Proportional to 4,697.02, 7,040.89 and 2,618.02

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Solution

The fourth proportional to 4,697.02, 7,040.89 and 2,618.02 is: 3,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.02 : 7,040.89 = 2,618.02 : x
  2. Step 2: Convert to fraction form
    4,697.02/7,040.89 = 2,618.02/x
  3. Step 3: Cross multiply
    4,697.02x = 7,040.89 × 2,618.02
  4. Step 4: Simplify right side
    4,697.02x = 18,433,142.54
  5. Step 5: Solve for x
    x = 18,433,142.54/4,697.02
  6. Step 6: Final answer
    x = 3,924.44

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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.