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Finding the Fourth Proportional to 5,707.92, 7,877.94 and 3,351.42

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Solution

The fourth proportional to 5,707.92, 7,877.94 and 3,351.42 is: 4,625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.92 : 7,877.94 = 3,351.42 : x
  2. Step 2: Convert to fraction form
    5,707.92/7,877.94 = 3,351.42/x
  3. Step 3: Cross multiply
    5,707.92x = 7,877.94 × 3,351.42
  4. Step 4: Simplify right side
    5,707.92x = 26,402,285.67
  5. Step 5: Solve for x
    x = 26,402,285.67/5,707.92
  6. Step 6: Final answer
    x = 4,625.55

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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.