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Finding the Fourth Proportional to 3,820.59, 5,723.57 and 2,585.87

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Solution

The fourth proportional to 3,820.59, 5,723.57 and 2,585.87 is: 3,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.59 : 5,723.57 = 2,585.87 : x
  2. Step 2: Convert to fraction form
    3,820.59/5,723.57 = 2,585.87/x
  3. Step 3: Cross multiply
    3,820.59x = 5,723.57 × 2,585.87
  4. Step 4: Simplify right side
    3,820.59x = 14,800,395.03
  5. Step 5: Solve for x
    x = 14,800,395.03/3,820.59
  6. Step 6: Final answer
    x = 3,873.85

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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.