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Finding the Fourth Proportional to 5,693.33, 8,541.26 and 1,745.14

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Solution

The fourth proportional to 5,693.33, 8,541.26 and 1,745.14 is: 2,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.33 : 8,541.26 = 1,745.14 : x
  2. Step 2: Convert to fraction form
    5,693.33/8,541.26 = 1,745.14/x
  3. Step 3: Cross multiply
    5,693.33x = 8,541.26 × 1,745.14
  4. Step 4: Simplify right side
    5,693.33x = 14,905,677.49
  5. Step 5: Solve for x
    x = 14,905,677.49/5,693.33
  6. Step 6: Final answer
    x = 2,618.09

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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.