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Finding the Fourth Proportional to 4,684.50, 7,027.02 and 2,345.09

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Solution

The fourth proportional to 4,684.50, 7,027.02 and 2,345.09 is: 3,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.50 : 7,027.02 = 2,345.09 : x
  2. Step 2: Convert to fraction form
    4,684.50/7,027.02 = 2,345.09/x
  3. Step 3: Cross multiply
    4,684.50x = 7,027.02 × 2,345.09
  4. Step 4: Simplify right side
    4,684.50x = 16,478,959.20
  5. Step 5: Solve for x
    x = 16,478,959.20/4,684.50
  6. Step 6: Final answer
    x = 3,517.76

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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.