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Finding the Fourth Proportional to 5,342.10, 8,012.19 and 1,446.81

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Solution

The fourth proportional to 5,342.10, 8,012.19 and 1,446.81 is: 2,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.10 : 8,012.19 = 1,446.81 : x
  2. Step 2: Convert to fraction form
    5,342.10/8,012.19 = 1,446.81/x
  3. Step 3: Cross multiply
    5,342.10x = 8,012.19 × 1,446.81
  4. Step 4: Simplify right side
    5,342.10x = 11,592,116.61
  5. Step 5: Solve for x
    x = 11,592,116.61/5,342.10
  6. Step 6: Final answer
    x = 2,169.96

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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.