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Finding the Fourth Proportional to 5,506.67, 8,259.90 and 2,219.69

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Solution

The fourth proportional to 5,506.67, 8,259.90 and 2,219.69 is: 3,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.67 : 8,259.90 = 2,219.69 : x
  2. Step 2: Convert to fraction form
    5,506.67/8,259.90 = 2,219.69/x
  3. Step 3: Cross multiply
    5,506.67x = 8,259.90 × 2,219.69
  4. Step 4: Simplify right side
    5,506.67x = 18,334,417.43
  5. Step 5: Solve for x
    x = 18,334,417.43/5,506.67
  6. Step 6: Final answer
    x = 3,329.49

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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.