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Finding the Fourth Proportional to 4,294.56, 5,926.44 and 2,406.30

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Solution

The fourth proportional to 4,294.56, 5,926.44 and 2,406.30 is: 3,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.56 : 5,926.44 = 2,406.30 : x
  2. Step 2: Convert to fraction form
    4,294.56/5,926.44 = 2,406.30/x
  3. Step 3: Cross multiply
    4,294.56x = 5,926.44 × 2,406.30
  4. Step 4: Simplify right side
    4,294.56x = 14,260,792.57
  5. Step 5: Solve for x
    x = 14,260,792.57/4,294.56
  6. Step 6: Final answer
    x = 3,320.66

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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.