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Finding the Fourth Proportional to 3,914.99, 5,402.65 and 2,146.59

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Solution

The fourth proportional to 3,914.99, 5,402.65 and 2,146.59 is: 2,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.99 : 5,402.65 = 2,146.59 : x
  2. Step 2: Convert to fraction form
    3,914.99/5,402.65 = 2,146.59/x
  3. Step 3: Cross multiply
    3,914.99x = 5,402.65 × 2,146.59
  4. Step 4: Simplify right side
    3,914.99x = 11,597,274.46
  5. Step 5: Solve for x
    x = 11,597,274.46/3,914.99
  6. Step 6: Final answer
    x = 2,962.27

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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.