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Finding the Fourth Proportional to 4,905.75, 6,765.29 and 3,784.92

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Solution

The fourth proportional to 4,905.75, 6,765.29 and 3,784.92 is: 5,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.75 : 6,765.29 = 3,784.92 : x
  2. Step 2: Convert to fraction form
    4,905.75/6,765.29 = 3,784.92/x
  3. Step 3: Cross multiply
    4,905.75x = 6,765.29 × 3,784.92
  4. Step 4: Simplify right side
    4,905.75x = 25,606,051.33
  5. Step 5: Solve for x
    x = 25,606,051.33/4,905.75
  6. Step 6: Final answer
    x = 5,219.60

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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.