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Finding the Fourth Proportional to 3,739.84, 5,159.79 and 2,167.63

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Solution

The fourth proportional to 3,739.84, 5,159.79 and 2,167.63 is: 2,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.84 : 5,159.79 = 2,167.63 : x
  2. Step 2: Convert to fraction form
    3,739.84/5,159.79 = 2,167.63/x
  3. Step 3: Cross multiply
    3,739.84x = 5,159.79 × 2,167.63
  4. Step 4: Simplify right side
    3,739.84x = 11,184,502.70
  5. Step 5: Solve for x
    x = 11,184,502.70/3,739.84
  6. Step 6: Final answer
    x = 2,990.64

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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.