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Finding the Fourth Proportional to 5,354.16, 8,027.20 and 1,654.22

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Solution

The fourth proportional to 5,354.16, 8,027.20 and 1,654.22 is: 2,480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.16 : 8,027.20 = 1,654.22 : x
  2. Step 2: Convert to fraction form
    5,354.16/8,027.20 = 1,654.22/x
  3. Step 3: Cross multiply
    5,354.16x = 8,027.20 × 1,654.22
  4. Step 4: Simplify right side
    5,354.16x = 13,278,754.78
  5. Step 5: Solve for x
    x = 13,278,754.78/5,354.16
  6. Step 6: Final answer
    x = 2,480.08

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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.