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Finding the Fourth Proportional to 5,572.40, 8,342.40 and 5,410.40

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Solution

The fourth proportional to 5,572.40, 8,342.40 and 5,410.40 is: 8,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.40 : 8,342.40 = 5,410.40 : x
  2. Step 2: Convert to fraction form
    5,572.40/8,342.40 = 5,410.40/x
  3. Step 3: Cross multiply
    5,572.40x = 8,342.40 × 5,410.40
  4. Step 4: Simplify right side
    5,572.40x = 45,135,720.96
  5. Step 5: Solve for x
    x = 45,135,720.96/5,572.40
  6. Step 6: Final answer
    x = 8,099.87

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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.