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Finding the Fourth Proportional to 5,579.50, 8,364.48 and 2,290.54

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Solution

The fourth proportional to 5,579.50, 8,364.48 and 2,290.54 is: 3,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.50 : 8,364.48 = 2,290.54 : x
  2. Step 2: Convert to fraction form
    5,579.50/8,364.48 = 2,290.54/x
  3. Step 3: Cross multiply
    5,579.50x = 8,364.48 × 2,290.54
  4. Step 4: Simplify right side
    5,579.50x = 19,159,176.02
  5. Step 5: Solve for x
    x = 19,159,176.02/5,579.50
  6. Step 6: Final answer
    x = 3,433.85

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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.