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Finding the Fourth Proportional to 5,518.50, 8,273.90 and 2,594

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Solution

The fourth proportional to 5,518.50, 8,273.90 and 2,594 is: 3,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,518.50 : 8,273.90 = 2,594 : x
  2. Step 2: Convert to fraction form
    5,518.50/8,273.90 = 2,594/x
  3. Step 3: Cross multiply
    5,518.50x = 8,273.90 × 2,594
  4. Step 4: Simplify right side
    5,518.50x = 21,462,496.60
  5. Step 5: Solve for x
    x = 21,462,496.60/5,518.50
  6. Step 6: Final answer
    x = 3,889.19

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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.