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Finding the Fourth Proportional to 5,166.16, 7,129.44 and 2,808.46

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Solution

The fourth proportional to 5,166.16, 7,129.44 and 2,808.46 is: 3,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.16 : 7,129.44 = 2,808.46 : x
  2. Step 2: Convert to fraction form
    5,166.16/7,129.44 = 2,808.46/x
  3. Step 3: Cross multiply
    5,166.16x = 7,129.44 × 2,808.46
  4. Step 4: Simplify right side
    5,166.16x = 20,022,747.06
  5. Step 5: Solve for x
    x = 20,022,747.06/5,166.16
  6. Step 6: Final answer
    x = 3,875.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.