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Finding the Fourth Proportional to 4,102.56, 5,662.44 and 2,509.56

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Solution

The fourth proportional to 4,102.56, 5,662.44 and 2,509.56 is: 3,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.56 : 5,662.44 = 2,509.56 : x
  2. Step 2: Convert to fraction form
    4,102.56/5,662.44 = 2,509.56/x
  3. Step 3: Cross multiply
    4,102.56x = 5,662.44 × 2,509.56
  4. Step 4: Simplify right side
    4,102.56x = 14,210,232.93
  5. Step 5: Solve for x
    x = 14,210,232.93/4,102.56
  6. Step 6: Final answer
    x = 3,463.75

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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.