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Finding the Fourth Proportional to 5,352.64, 8,027.54 and 1,456.14

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Solution

The fourth proportional to 5,352.64, 8,027.54 and 1,456.14 is: 2,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.64 : 8,027.54 = 1,456.14 : x
  2. Step 2: Convert to fraction form
    5,352.64/8,027.54 = 1,456.14/x
  3. Step 3: Cross multiply
    5,352.64x = 8,027.54 × 1,456.14
  4. Step 4: Simplify right side
    5,352.64x = 11,689,222.10
  5. Step 5: Solve for x
    x = 11,689,222.10/5,352.64
  6. Step 6: Final answer
    x = 2,183.82

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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.