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Finding the Fourth Proportional to 5,342.96, 8,014.66 and 1,447.36

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Solution

The fourth proportional to 5,342.96, 8,014.66 and 1,447.36 is: 2,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.96 : 8,014.66 = 1,447.36 : x
  2. Step 2: Convert to fraction form
    5,342.96/8,014.66 = 1,447.36/x
  3. Step 3: Cross multiply
    5,342.96x = 8,014.66 × 1,447.36
  4. Step 4: Simplify right side
    5,342.96x = 11,600,074.64
  5. Step 5: Solve for x
    x = 11,600,074.64/5,342.96
  6. Step 6: Final answer
    x = 2,171.10

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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.