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Finding the Fourth Proportional to 4,606.64, 6,912.44 and 2,009.42

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Solution

The fourth proportional to 4,606.64, 6,912.44 and 2,009.42 is: 3,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.64 : 6,912.44 = 2,009.42 : x
  2. Step 2: Convert to fraction form
    4,606.64/6,912.44 = 2,009.42/x
  3. Step 3: Cross multiply
    4,606.64x = 6,912.44 × 2,009.42
  4. Step 4: Simplify right side
    4,606.64x = 13,889,985.14
  5. Step 5: Solve for x
    x = 13,889,985.14/4,606.64
  6. Step 6: Final answer
    x = 3,015.21

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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.