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Finding the Fourth Proportional to 4,097.54, 5,659.32 and 2,983.46

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Solution

The fourth proportional to 4,097.54, 5,659.32 and 2,983.46 is: 4,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.54 : 5,659.32 = 2,983.46 : x
  2. Step 2: Convert to fraction form
    4,097.54/5,659.32 = 2,983.46/x
  3. Step 3: Cross multiply
    4,097.54x = 5,659.32 × 2,983.46
  4. Step 4: Simplify right side
    4,097.54x = 16,884,326.55
  5. Step 5: Solve for x
    x = 16,884,326.55/4,097.54
  6. Step 6: Final answer
    x = 4,120.61

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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.