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Finding the Fourth Proportional to 5,707.39, 7,876.02 and 3,349.48

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Solution

The fourth proportional to 5,707.39, 7,876.02 and 3,349.48 is: 4,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.39 : 7,876.02 = 3,349.48 : x
  2. Step 2: Convert to fraction form
    5,707.39/7,876.02 = 3,349.48/x
  3. Step 3: Cross multiply
    5,707.39x = 7,876.02 × 3,349.48
  4. Step 4: Simplify right side
    5,707.39x = 26,380,571.47
  5. Step 5: Solve for x
    x = 26,380,571.47/5,707.39
  6. Step 6: Final answer
    x = 4,622.18

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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.