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Finding the Fourth Proportional to 3,784.32, 5,221.98 and 2,105.46

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Solution

The fourth proportional to 3,784.32, 5,221.98 and 2,105.46 is: 2,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.32 : 5,221.98 = 2,105.46 : x
  2. Step 2: Convert to fraction form
    3,784.32/5,221.98 = 2,105.46/x
  3. Step 3: Cross multiply
    3,784.32x = 5,221.98 × 2,105.46
  4. Step 4: Simplify right side
    3,784.32x = 10,994,670.01
  5. Step 5: Solve for x
    x = 10,994,670.01/3,784.32
  6. Step 6: Final answer
    x = 2,905.32

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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.