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Finding the Fourth Proportional to 4,996.49, 7,496.06 and 1,709.60

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Solution

The fourth proportional to 4,996.49, 7,496.06 and 1,709.60 is: 2,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.49 : 7,496.06 = 1,709.60 : x
  2. Step 2: Convert to fraction form
    4,996.49/7,496.06 = 1,709.60/x
  3. Step 3: Cross multiply
    4,996.49x = 7,496.06 × 1,709.60
  4. Step 4: Simplify right side
    4,996.49x = 12,815,218.15
  5. Step 5: Solve for x
    x = 12,815,218.15/4,996.49
  6. Step 6: Final answer
    x = 2,564.85

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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.