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Finding the Fourth Proportional to 4,094.64, 6,142.36 and 1,321.36

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Solution

The fourth proportional to 4,094.64, 6,142.36 and 1,321.36 is: 1,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.64 : 6,142.36 = 1,321.36 : x
  2. Step 2: Convert to fraction form
    4,094.64/6,142.36 = 1,321.36/x
  3. Step 3: Cross multiply
    4,094.64x = 6,142.36 × 1,321.36
  4. Step 4: Simplify right side
    4,094.64x = 8,116,268.81
  5. Step 5: Solve for x
    x = 8,116,268.81/4,094.64
  6. Step 6: Final answer
    x = 1,982.17

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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.