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Finding the Fourth Proportional to 5,495.40, 8,243.49 and 2,208.50

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Solution

The fourth proportional to 5,495.40, 8,243.49 and 2,208.50 is: 3,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.40 : 8,243.49 = 2,208.50 : x
  2. Step 2: Convert to fraction form
    5,495.40/8,243.49 = 2,208.50/x
  3. Step 3: Cross multiply
    5,495.40x = 8,243.49 × 2,208.50
  4. Step 4: Simplify right side
    5,495.40x = 18,205,698.17
  5. Step 5: Solve for x
    x = 18,205,698.17/5,495.40
  6. Step 6: Final answer
    x = 3,312.90

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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.