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Finding the Fourth Proportional to 5,109.66, 7,663.50 and 1,822.86

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Solution

The fourth proportional to 5,109.66, 7,663.50 and 1,822.86 is: 2,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.66 : 7,663.50 = 1,822.86 : x
  2. Step 2: Convert to fraction form
    5,109.66/7,663.50 = 1,822.86/x
  3. Step 3: Cross multiply
    5,109.66x = 7,663.50 × 1,822.86
  4. Step 4: Simplify right side
    5,109.66x = 13,969,487.61
  5. Step 5: Solve for x
    x = 13,969,487.61/5,109.66
  6. Step 6: Final answer
    x = 2,733.94

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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.