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Finding the Fourth Proportional to 5,363.67, 8,044.69 and 1,853.13

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Solution

The fourth proportional to 5,363.67, 8,044.69 and 1,853.13 is: 2,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.67 : 8,044.69 = 1,853.13 : x
  2. Step 2: Convert to fraction form
    5,363.67/8,044.69 = 1,853.13/x
  3. Step 3: Cross multiply
    5,363.67x = 8,044.69 × 1,853.13
  4. Step 4: Simplify right side
    5,363.67x = 14,907,856.38
  5. Step 5: Solve for x
    x = 14,907,856.38/5,363.67
  6. Step 6: Final answer
    x = 2,779.41

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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.