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Finding the Fourth Proportional to 5,637.96, 7,781.94 and 3,873.96

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Solution

The fourth proportional to 5,637.96, 7,781.94 and 3,873.96 is: 5,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.96 : 7,781.94 = 3,873.96 : x
  2. Step 2: Convert to fraction form
    5,637.96/7,781.94 = 3,873.96/x
  3. Step 3: Cross multiply
    5,637.96x = 7,781.94 × 3,873.96
  4. Step 4: Simplify right side
    5,637.96x = 30,146,924.28
  5. Step 5: Solve for x
    x = 30,146,924.28/5,637.96
  6. Step 6: Final answer
    x = 5,347.13

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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.