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Finding the Fourth Proportional to 4,608.05, 6,359.27 and 2,564.01

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Solution

The fourth proportional to 4,608.05, 6,359.27 and 2,564.01 is: 3,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.05 : 6,359.27 = 2,564.01 : x
  2. Step 2: Convert to fraction form
    4,608.05/6,359.27 = 2,564.01/x
  3. Step 3: Cross multiply
    4,608.05x = 6,359.27 × 2,564.01
  4. Step 4: Simplify right side
    4,608.05x = 16,305,219.05
  5. Step 5: Solve for x
    x = 16,305,219.05/4,608.05
  6. Step 6: Final answer
    x = 3,538.42

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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.