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Finding the Fourth Proportional to 3,914.64, 5,403.93 and 2,500.17

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Solution

The fourth proportional to 3,914.64, 5,403.93 and 2,500.17 is: 3,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.64 : 5,403.93 = 2,500.17 : x
  2. Step 2: Convert to fraction form
    3,914.64/5,403.93 = 2,500.17/x
  3. Step 3: Cross multiply
    3,914.64x = 5,403.93 × 2,500.17
  4. Step 4: Simplify right side
    3,914.64x = 13,510,743.67
  5. Step 5: Solve for x
    x = 13,510,743.67/3,914.64
  6. Step 6: Final answer
    x = 3,451.34

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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.