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Finding the Fourth Proportional to 5,637.68, 7,780.24 and 3,119.84

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Solution

The fourth proportional to 5,637.68, 7,780.24 and 3,119.84 is: 4,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.68 : 7,780.24 = 3,119.84 : x
  2. Step 2: Convert to fraction form
    5,637.68/7,780.24 = 3,119.84/x
  3. Step 3: Cross multiply
    5,637.68x = 7,780.24 × 3,119.84
  4. Step 4: Simplify right side
    5,637.68x = 24,273,103.96
  5. Step 5: Solve for x
    x = 24,273,103.96/5,637.68
  6. Step 6: Final answer
    x = 4,305.51

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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.