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Finding the Fourth Proportional to 5,044.50, 7,573.70 and 3,480.80

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Solution

The fourth proportional to 5,044.50, 7,573.70 and 3,480.80 is: 5,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.50 : 7,573.70 = 3,480.80 : x
  2. Step 2: Convert to fraction form
    5,044.50/7,573.70 = 3,480.80/x
  3. Step 3: Cross multiply
    5,044.50x = 7,573.70 × 3,480.80
  4. Step 4: Simplify right side
    5,044.50x = 26,362,505.79
  5. Step 5: Solve for x
    x = 26,362,505.79/5,044.50
  6. Step 6: Final answer
    x = 5,225.99

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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.