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Finding the Fourth Proportional to 3,405.40, 5,102.70 and 2,530.60

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Solution

The fourth proportional to 3,405.40, 5,102.70 and 2,530.60 is: 3,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.40 : 5,102.70 = 2,530.60 : x
  2. Step 2: Convert to fraction form
    3,405.40/5,102.70 = 2,530.60/x
  3. Step 3: Cross multiply
    3,405.40x = 5,102.70 × 2,530.60
  4. Step 4: Simplify right side
    3,405.40x = 12,912,892.62
  5. Step 5: Solve for x
    x = 12,912,892.62/3,405.40
  6. Step 6: Final answer
    x = 3,791.89

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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.