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Finding the Fourth Proportional to 5,636.37, 7,780.11 and 3,280.49

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Solution

The fourth proportional to 5,636.37, 7,780.11 and 3,280.49 is: 4,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.37 : 7,780.11 = 3,280.49 : x
  2. Step 2: Convert to fraction form
    5,636.37/7,780.11 = 3,280.49/x
  3. Step 3: Cross multiply
    5,636.37x = 7,780.11 × 3,280.49
  4. Step 4: Simplify right side
    5,636.37x = 25,522,573.05
  5. Step 5: Solve for x
    x = 25,522,573.05/5,636.37
  6. Step 6: Final answer
    x = 4,528.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.