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Finding the Fourth Proportional to 3,973.09, 5,482.74 and 2,204.77

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Solution

The fourth proportional to 3,973.09, 5,482.74 and 2,204.77 is: 3,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.09 : 5,482.74 = 2,204.77 : x
  2. Step 2: Convert to fraction form
    3,973.09/5,482.74 = 2,204.77/x
  3. Step 3: Cross multiply
    3,973.09x = 5,482.74 × 2,204.77
  4. Step 4: Simplify right side
    3,973.09x = 12,088,180.67
  5. Step 5: Solve for x
    x = 12,088,180.67/3,973.09
  6. Step 6: Final answer
    x = 3,042.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.