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Finding the Fourth Proportional to 5,346.85, 8,019.66 and 1,450.96

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Solution

The fourth proportional to 5,346.85, 8,019.66 and 1,450.96 is: 2,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.85 : 8,019.66 = 1,450.96 : x
  2. Step 2: Convert to fraction form
    5,346.85/8,019.66 = 1,450.96/x
  3. Step 3: Cross multiply
    5,346.85x = 8,019.66 × 1,450.96
  4. Step 4: Simplify right side
    5,346.85x = 11,636,165.78
  5. Step 5: Solve for x
    x = 11,636,165.78/5,346.85
  6. Step 6: Final answer
    x = 2,176.27

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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.