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Finding the Fourth Proportional to 5,707.92, 7,876.80 and 3,350.28

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Solution

The fourth proportional to 5,707.92, 7,876.80 and 3,350.28 is: 4,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.92 : 7,876.80 = 3,350.28 : x
  2. Step 2: Convert to fraction form
    5,707.92/7,876.80 = 3,350.28/x
  3. Step 3: Cross multiply
    5,707.92x = 7,876.80 × 3,350.28
  4. Step 4: Simplify right side
    5,707.92x = 26,389,485.50
  5. Step 5: Solve for x
    x = 26,389,485.50/5,707.92
  6. Step 6: Final answer
    x = 4,623.31

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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.