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Finding the Fourth Proportional to 5,204.94, 7,810.65 and 1,744.62

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Solution

The fourth proportional to 5,204.94, 7,810.65 and 1,744.62 is: 2,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.94 : 7,810.65 = 1,744.62 : x
  2. Step 2: Convert to fraction form
    5,204.94/7,810.65 = 1,744.62/x
  3. Step 3: Cross multiply
    5,204.94x = 7,810.65 × 1,744.62
  4. Step 4: Simplify right side
    5,204.94x = 13,626,616.20
  5. Step 5: Solve for x
    x = 13,626,616.20/5,204.94
  6. Step 6: Final answer
    x = 2,618.02

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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.