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Finding the Fourth Proportional to 5,107.29, 7,043.73 and 4,314.51

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Solution

The fourth proportional to 5,107.29, 7,043.73 and 4,314.51 is: 5,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.29 : 7,043.73 = 4,314.51 : x
  2. Step 2: Convert to fraction form
    5,107.29/7,043.73 = 4,314.51/x
  3. Step 3: Cross multiply
    5,107.29x = 7,043.73 × 4,314.51
  4. Step 4: Simplify right side
    5,107.29x = 30,390,243.52
  5. Step 5: Solve for x
    x = 30,390,243.52/5,107.29
  6. Step 6: Final answer
    x = 5,950.37

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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.