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Finding the Fourth Proportional to 5,244.89, 7,865.63 and 1,734.08

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Solution

The fourth proportional to 5,244.89, 7,865.63 and 1,734.08 is: 2,600.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.89 : 7,865.63 = 1,734.08 : x
  2. Step 2: Convert to fraction form
    5,244.89/7,865.63 = 1,734.08/x
  3. Step 3: Cross multiply
    5,244.89x = 7,865.63 × 1,734.08
  4. Step 4: Simplify right side
    5,244.89x = 13,639,623
  5. Step 5: Solve for x
    x = 13,639,623/5,244.89
  6. Step 6: Final answer
    x = 2,600.55

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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.