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Finding the Fourth Proportional to 4,294.71, 6,444.26 and 2,045.78

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Solution

The fourth proportional to 4,294.71, 6,444.26 and 2,045.78 is: 3,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.71 : 6,444.26 = 2,045.78 : x
  2. Step 2: Convert to fraction form
    4,294.71/6,444.26 = 2,045.78/x
  3. Step 3: Cross multiply
    4,294.71x = 6,444.26 × 2,045.78
  4. Step 4: Simplify right side
    4,294.71x = 13,183,527.99
  5. Step 5: Solve for x
    x = 13,183,527.99/4,294.71
  6. Step 6: Final answer
    x = 3,069.71

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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.