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Finding the Fourth Proportional to 5,947.13, 8,200.30 and 3,823

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Solution

The fourth proportional to 5,947.13, 8,200.30 and 3,823 is: 5,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.13 : 8,200.30 = 3,823 : x
  2. Step 2: Convert to fraction form
    5,947.13/8,200.30 = 3,823/x
  3. Step 3: Cross multiply
    5,947.13x = 8,200.30 × 3,823
  4. Step 4: Simplify right side
    5,947.13x = 31,349,746.90
  5. Step 5: Solve for x
    x = 31,349,746.90/5,947.13
  6. Step 6: Final answer
    x = 5,271.41

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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.