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Finding the Fourth Proportional to 5,389.31, 7,435.13 and 3,976.40

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Solution

The fourth proportional to 5,389.31, 7,435.13 and 3,976.40 is: 5,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.31 : 7,435.13 = 3,976.40 : x
  2. Step 2: Convert to fraction form
    5,389.31/7,435.13 = 3,976.40/x
  3. Step 3: Cross multiply
    5,389.31x = 7,435.13 × 3,976.40
  4. Step 4: Simplify right side
    5,389.31x = 29,564,993.87
  5. Step 5: Solve for x
    x = 29,564,993.87/5,389.31
  6. Step 6: Final answer
    x = 5,485.86

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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.