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Finding the Fourth Proportional to 5,505.97, 8,259.47 and 1,808.22

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Solution

The fourth proportional to 5,505.97, 8,259.47 and 1,808.22 is: 2,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.97 : 8,259.47 = 1,808.22 : x
  2. Step 2: Convert to fraction form
    5,505.97/8,259.47 = 1,808.22/x
  3. Step 3: Cross multiply
    5,505.97x = 8,259.47 × 1,808.22
  4. Step 4: Simplify right side
    5,505.97x = 14,934,915.78
  5. Step 5: Solve for x
    x = 14,934,915.78/5,505.97
  6. Step 6: Final answer
    x = 2,712.50

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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.