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Finding the Fourth Proportional to 5,101.92, 7,652.34 and 1,814.94

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Solution

The fourth proportional to 5,101.92, 7,652.34 and 1,814.94 is: 2,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.92 : 7,652.34 = 1,814.94 : x
  2. Step 2: Convert to fraction form
    5,101.92/7,652.34 = 1,814.94/x
  3. Step 3: Cross multiply
    5,101.92x = 7,652.34 × 1,814.94
  4. Step 4: Simplify right side
    5,101.92x = 13,888,537.96
  5. Step 5: Solve for x
    x = 13,888,537.96/5,101.92
  6. Step 6: Final answer
    x = 2,722.22

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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.