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Finding the Fourth Proportional to 5,420.16, 8,129.57 and 1,471.73

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Solution

The fourth proportional to 5,420.16, 8,129.57 and 1,471.73 is: 2,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.16 : 8,129.57 = 1,471.73 : x
  2. Step 2: Convert to fraction form
    5,420.16/8,129.57 = 1,471.73/x
  3. Step 3: Cross multiply
    5,420.16x = 8,129.57 × 1,471.73
  4. Step 4: Simplify right side
    5,420.16x = 11,964,484.05
  5. Step 5: Solve for x
    x = 11,964,484.05/5,420.16
  6. Step 6: Final answer
    x = 2,207.40

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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.