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Finding the Fourth Proportional to 5,302.67, 7,318.49 and 3,815.51

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Solution

The fourth proportional to 5,302.67, 7,318.49 and 3,815.51 is: 5,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.67 : 7,318.49 = 3,815.51 : x
  2. Step 2: Convert to fraction form
    5,302.67/7,318.49 = 3,815.51/x
  3. Step 3: Cross multiply
    5,302.67x = 7,318.49 × 3,815.51
  4. Step 4: Simplify right side
    5,302.67x = 27,923,716.11
  5. Step 5: Solve for x
    x = 27,923,716.11/5,302.67
  6. Step 6: Final answer
    x = 5,265.98

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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.