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Finding the Fourth Proportional to 5,297.49, 7,307.31 and 3,807.43

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Solution

The fourth proportional to 5,297.49, 7,307.31 and 3,807.43 is: 5,251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.49 : 7,307.31 = 3,807.43 : x
  2. Step 2: Convert to fraction form
    5,297.49/7,307.31 = 3,807.43/x
  3. Step 3: Cross multiply
    5,297.49x = 7,307.31 × 3,807.43
  4. Step 4: Simplify right side
    5,297.49x = 27,822,087.87
  5. Step 5: Solve for x
    x = 27,822,087.87/5,297.49
  6. Step 6: Final answer
    x = 5,251.93

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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.