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Finding the Fourth Proportional to 5,200.79, 7,801.17 and 1,738.04

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Solution

The fourth proportional to 5,200.79, 7,801.17 and 1,738.04 is: 2,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.79 : 7,801.17 = 1,738.04 : x
  2. Step 2: Convert to fraction form
    5,200.79/7,801.17 = 1,738.04/x
  3. Step 3: Cross multiply
    5,200.79x = 7,801.17 × 1,738.04
  4. Step 4: Simplify right side
    5,200.79x = 13,558,706.50
  5. Step 5: Solve for x
    x = 13,558,706.50/5,200.79
  6. Step 6: Final answer
    x = 2,607.05

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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.