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Finding the Fourth Proportional to 3,914.46, 5,402.21 and 2,585.84

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Solution

The fourth proportional to 3,914.46, 5,402.21 and 2,585.84 is: 3,568.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.46 : 5,402.21 = 2,585.84 : x
  2. Step 2: Convert to fraction form
    3,914.46/5,402.21 = 2,585.84/x
  3. Step 3: Cross multiply
    3,914.46x = 5,402.21 × 2,585.84
  4. Step 4: Simplify right side
    3,914.46x = 13,969,210.77
  5. Step 5: Solve for x
    x = 13,969,210.77/3,914.46
  6. Step 6: Final answer
    x = 3,568.62

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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.