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Finding the Fourth Proportional to 3,877.80, 5,814.90 and 1,685.40

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Solution

The fourth proportional to 3,877.80, 5,814.90 and 1,685.40 is: 2,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.80 : 5,814.90 = 1,685.40 : x
  2. Step 2: Convert to fraction form
    3,877.80/5,814.90 = 1,685.40/x
  3. Step 3: Cross multiply
    3,877.80x = 5,814.90 × 1,685.40
  4. Step 4: Simplify right side
    3,877.80x = 9,800,432.46
  5. Step 5: Solve for x
    x = 9,800,432.46/3,877.80
  6. Step 6: Final answer
    x = 2,527.32

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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.