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Finding the Fourth Proportional to 3,406.72, 5,102.88 and 2,575.84

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Solution

The fourth proportional to 3,406.72, 5,102.88 and 2,575.84 is: 3,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.72 : 5,102.88 = 2,575.84 : x
  2. Step 2: Convert to fraction form
    3,406.72/5,102.88 = 2,575.84/x
  3. Step 3: Cross multiply
    3,406.72x = 5,102.88 × 2,575.84
  4. Step 4: Simplify right side
    3,406.72x = 13,144,202.42
  5. Step 5: Solve for x
    x = 13,144,202.42/3,406.72
  6. Step 6: Final answer
    x = 3,858.32

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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.