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Finding the Fourth Proportional to 5,707.35, 7,871.09 and 4,218.97

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Solution

The fourth proportional to 5,707.35, 7,871.09 and 4,218.97 is: 5,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.35 : 7,871.09 = 4,218.97 : x
  2. Step 2: Convert to fraction form
    5,707.35/7,871.09 = 4,218.97/x
  3. Step 3: Cross multiply
    5,707.35x = 7,871.09 × 4,218.97
  4. Step 4: Simplify right side
    5,707.35x = 33,207,892.58
  5. Step 5: Solve for x
    x = 33,207,892.58/5,707.35
  6. Step 6: Final answer
    x = 5,818.44

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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.