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Finding the Fourth Proportional to 5,259.50, 7,889.47 and 2,139.45

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Solution

The fourth proportional to 5,259.50, 7,889.47 and 2,139.45 is: 3,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.50 : 7,889.47 = 2,139.45 : x
  2. Step 2: Convert to fraction form
    5,259.50/7,889.47 = 2,139.45/x
  3. Step 3: Cross multiply
    5,259.50x = 7,889.47 × 2,139.45
  4. Step 4: Simplify right side
    5,259.50x = 16,879,091.66
  5. Step 5: Solve for x
    x = 16,879,091.66/5,259.50
  6. Step 6: Final answer
    x = 3,209.26

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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.