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Finding the Fourth Proportional to 5,306.09, 7,958.57 and 1,410.89

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Solution

The fourth proportional to 5,306.09, 7,958.57 and 1,410.89 is: 2,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.09 : 7,958.57 = 1,410.89 : x
  2. Step 2: Convert to fraction form
    5,306.09/7,958.57 = 1,410.89/x
  3. Step 3: Cross multiply
    5,306.09x = 7,958.57 × 1,410.89
  4. Step 4: Simplify right side
    5,306.09x = 11,228,619.98
  5. Step 5: Solve for x
    x = 11,228,619.98/5,306.09
  6. Step 6: Final answer
    x = 2,116.18

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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.