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Finding the Fourth Proportional to 3,937.88, 5,434.26 and 2,169.58

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Solution

The fourth proportional to 3,937.88, 5,434.26 and 2,169.58 is: 2,994.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.88 : 5,434.26 = 2,169.58 : x
  2. Step 2: Convert to fraction form
    3,937.88/5,434.26 = 2,169.58/x
  3. Step 3: Cross multiply
    3,937.88x = 5,434.26 × 2,169.58
  4. Step 4: Simplify right side
    3,937.88x = 11,790,061.81
  5. Step 5: Solve for x
    x = 11,790,061.81/3,937.88
  6. Step 6: Final answer
    x = 2,994.01

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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.