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Finding the Fourth Proportional to 5,342.00, 8,013.02 and 1,446.41

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Solution

The fourth proportional to 5,342.00, 8,013.02 and 1,446.41 is: 2,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.00 : 8,013.02 = 1,446.41 : x
  2. Step 2: Convert to fraction form
    5,342.00/8,013.02 = 1,446.41/x
  3. Step 3: Cross multiply
    5,342.00x = 8,013.02 × 1,446.41
  4. Step 4: Simplify right side
    5,342.00x = 11,590,125.06
  5. Step 5: Solve for x
    x = 11,590,125.06/5,342.00
  6. Step 6: Final answer
    x = 2,169.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.