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Finding the Fourth Proportional to 3,817.53, 5,265.81 and 2,245.32

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Solution

The fourth proportional to 3,817.53, 5,265.81 and 2,245.32 is: 3,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.53 : 5,265.81 = 2,245.32 : x
  2. Step 2: Convert to fraction form
    3,817.53/5,265.81 = 2,245.32/x
  3. Step 3: Cross multiply
    3,817.53x = 5,265.81 × 2,245.32
  4. Step 4: Simplify right side
    3,817.53x = 11,823,428.51
  5. Step 5: Solve for x
    x = 11,823,428.51/3,817.53
  6. Step 6: Final answer
    x = 3,097.14

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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.