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Finding the Fourth Proportional to 5,663.67, 8,495.50 and 1,768.41

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Solution

The fourth proportional to 5,663.67, 8,495.50 and 1,768.41 is: 2,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.67 : 8,495.50 = 1,768.41 : x
  2. Step 2: Convert to fraction form
    5,663.67/8,495.50 = 1,768.41/x
  3. Step 3: Cross multiply
    5,663.67x = 8,495.50 × 1,768.41
  4. Step 4: Simplify right side
    5,663.67x = 15,023,480.26
  5. Step 5: Solve for x
    x = 15,023,480.26/5,663.67
  6. Step 6: Final answer
    x = 2,652.61

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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.