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Finding the Fourth Proportional to 4,294.70, 5,926.85 and 2,406.29

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Solution

The fourth proportional to 4,294.70, 5,926.85 and 2,406.29 is: 3,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.70 : 5,926.85 = 2,406.29 : x
  2. Step 2: Convert to fraction form
    4,294.70/5,926.85 = 2,406.29/x
  3. Step 3: Cross multiply
    4,294.70x = 5,926.85 × 2,406.29
  4. Step 4: Simplify right side
    4,294.70x = 14,261,728.69
  5. Step 5: Solve for x
    x = 14,261,728.69/4,294.70
  6. Step 6: Final answer
    x = 3,320.78

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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.