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Finding the Fourth Proportional to 3,983.83, 5,498.12 and 2,305.22

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Solution

The fourth proportional to 3,983.83, 5,498.12 and 2,305.22 is: 3,181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.83 : 5,498.12 = 2,305.22 : x
  2. Step 2: Convert to fraction form
    3,983.83/5,498.12 = 2,305.22/x
  3. Step 3: Cross multiply
    3,983.83x = 5,498.12 × 2,305.22
  4. Step 4: Simplify right side
    3,983.83x = 12,674,354.46
  5. Step 5: Solve for x
    x = 12,674,354.46/3,983.83
  6. Step 6: Final answer
    x = 3,181.45

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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.