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Finding the Fourth Proportional to 3,878.29, 5,816.90 and 1,686.74

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Solution

The fourth proportional to 3,878.29, 5,816.90 and 1,686.74 is: 2,529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.29 : 5,816.90 = 1,686.74 : x
  2. Step 2: Convert to fraction form
    3,878.29/5,816.90 = 1,686.74/x
  3. Step 3: Cross multiply
    3,878.29x = 5,816.90 × 1,686.74
  4. Step 4: Simplify right side
    3,878.29x = 9,811,573.04
  5. Step 5: Solve for x
    x = 9,811,573.04/3,878.29
  6. Step 6: Final answer
    x = 2,529.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.