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Finding the Fourth Proportional to 5,342.77, 8,014.16 and 1,447.18

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Solution

The fourth proportional to 5,342.77, 8,014.16 and 1,447.18 is: 2,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.77 : 8,014.16 = 1,447.18 : x
  2. Step 2: Convert to fraction form
    5,342.77/8,014.16 = 1,447.18/x
  3. Step 3: Cross multiply
    5,342.77x = 8,014.16 × 1,447.18
  4. Step 4: Simplify right side
    5,342.77x = 11,597,884.76
  5. Step 5: Solve for x
    x = 11,597,884.76/5,342.77
  6. Step 6: Final answer
    x = 2,170.76

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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.