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Finding the Fourth Proportional to 3,902.48, 5,385.22 and 2,133.74

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Solution

The fourth proportional to 3,902.48, 5,385.22 and 2,133.74 is: 2,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.48 : 5,385.22 = 2,133.74 : x
  2. Step 2: Convert to fraction form
    3,902.48/5,385.22 = 2,133.74/x
  3. Step 3: Cross multiply
    3,902.48x = 5,385.22 × 2,133.74
  4. Step 4: Simplify right side
    3,902.48x = 11,490,659.32
  5. Step 5: Solve for x
    x = 11,490,659.32/3,902.48
  6. Step 6: Final answer
    x = 2,944.45

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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.