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Finding the Fourth Proportional to 3,973.05, 5,482.94 and 2,180.66

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Solution

The fourth proportional to 3,973.05, 5,482.94 and 2,180.66 is: 3,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.05 : 5,482.94 = 2,180.66 : x
  2. Step 2: Convert to fraction form
    3,973.05/5,482.94 = 2,180.66/x
  3. Step 3: Cross multiply
    3,973.05x = 5,482.94 × 2,180.66
  4. Step 4: Simplify right side
    3,973.05x = 11,956,401.89
  5. Step 5: Solve for x
    x = 11,956,401.89/3,973.05
  6. Step 6: Final answer
    x = 3,009.38

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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.