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Finding the Fourth Proportional to 3,864.07, 5,795.83 and 1,090.63

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Solution

The fourth proportional to 3,864.07, 5,795.83 and 1,090.63 is: 1,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.07 : 5,795.83 = 1,090.63 : x
  2. Step 2: Convert to fraction form
    3,864.07/5,795.83 = 1,090.63/x
  3. Step 3: Cross multiply
    3,864.07x = 5,795.83 × 1,090.63
  4. Step 4: Simplify right side
    3,864.07x = 6,321,106.07
  5. Step 5: Solve for x
    x = 6,321,106.07/3,864.07
  6. Step 6: Final answer
    x = 1,635.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.