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Finding the Fourth Proportional to 3,441.81, 5,156.08 and 2,056.25

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Solution

The fourth proportional to 3,441.81, 5,156.08 and 2,056.25 is: 3,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.81 : 5,156.08 = 2,056.25 : x
  2. Step 2: Convert to fraction form
    3,441.81/5,156.08 = 2,056.25/x
  3. Step 3: Cross multiply
    3,441.81x = 5,156.08 × 2,056.25
  4. Step 4: Simplify right side
    3,441.81x = 10,602,197.25
  5. Step 5: Solve for x
    x = 10,602,197.25/3,441.81
  6. Step 6: Final answer
    x = 3,080.41

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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.