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Finding the Fourth Proportional to 5,493.26, 8,240.02 and 2,030.50

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Solution

The fourth proportional to 5,493.26, 8,240.02 and 2,030.50 is: 3,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.26 : 8,240.02 = 2,030.50 : x
  2. Step 2: Convert to fraction form
    5,493.26/8,240.02 = 2,030.50/x
  3. Step 3: Cross multiply
    5,493.26x = 8,240.02 × 2,030.50
  4. Step 4: Simplify right side
    5,493.26x = 16,731,360.61
  5. Step 5: Solve for x
    x = 16,731,360.61/5,493.26
  6. Step 6: Final answer
    x = 3,045.80

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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.