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Finding the Fourth Proportional to 3,876.59, 5,814.74 and 1,685.32

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Solution

The fourth proportional to 3,876.59, 5,814.74 and 1,685.32 is: 2,527.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.59 : 5,814.74 = 1,685.32 : x
  2. Step 2: Convert to fraction form
    3,876.59/5,814.74 = 1,685.32/x
  3. Step 3: Cross multiply
    3,876.59x = 5,814.74 × 1,685.32
  4. Step 4: Simplify right side
    3,876.59x = 9,799,687.29
  5. Step 5: Solve for x
    x = 9,799,687.29/3,876.59
  6. Step 6: Final answer
    x = 2,527.92

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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.