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Finding the Fourth Proportional to 5,809.60, 8,009.49 and 4,618.55

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Solution

The fourth proportional to 5,809.60, 8,009.49 and 4,618.55 is: 6,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.60 : 8,009.49 = 4,618.55 : x
  2. Step 2: Convert to fraction form
    5,809.60/8,009.49 = 4,618.55/x
  3. Step 3: Cross multiply
    5,809.60x = 8,009.49 × 4,618.55
  4. Step 4: Simplify right side
    5,809.60x = 36,992,230.04
  5. Step 5: Solve for x
    x = 36,992,230.04/5,809.60
  6. Step 6: Final answer
    x = 6,367.43

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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.