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Finding the Fourth Proportional to 3,607.82, 4,974.16 and 2,958.66

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Solution

The fourth proportional to 3,607.82, 4,974.16 and 2,958.66 is: 4,079.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.82 : 4,974.16 = 2,958.66 : x
  2. Step 2: Convert to fraction form
    3,607.82/4,974.16 = 2,958.66/x
  3. Step 3: Cross multiply
    3,607.82x = 4,974.16 × 2,958.66
  4. Step 4: Simplify right side
    3,607.82x = 14,716,832.39
  5. Step 5: Solve for x
    x = 14,716,832.39/3,607.82
  6. Step 6: Final answer
    x = 4,079.15

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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.