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Finding the Fourth Proportional to 3,214.71, 4,439.07 and 2,475.99

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Solution

The fourth proportional to 3,214.71, 4,439.07 and 2,475.99 is: 3,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.71 : 4,439.07 = 2,475.99 : x
  2. Step 2: Convert to fraction form
    3,214.71/4,439.07 = 2,475.99/x
  3. Step 3: Cross multiply
    3,214.71x = 4,439.07 × 2,475.99
  4. Step 4: Simplify right side
    3,214.71x = 10,991,092.93
  5. Step 5: Solve for x
    x = 10,991,092.93/3,214.71
  6. Step 6: Final answer
    x = 3,419.00

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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.