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Finding the Fourth Proportional to 5,200.47, 7,803 and 2,734.74

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Solution

The fourth proportional to 5,200.47, 7,803 and 2,734.74 is: 4,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.47 : 7,803 = 2,734.74 : x
  2. Step 2: Convert to fraction form
    5,200.47/7,803 = 2,734.74/x
  3. Step 3: Cross multiply
    5,200.47x = 7,803 × 2,734.74
  4. Step 4: Simplify right side
    5,200.47x = 21,339,176.22
  5. Step 5: Solve for x
    x = 21,339,176.22/5,200.47
  6. Step 6: Final answer
    x = 4,103.32

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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.