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Finding the Fourth Proportional to 5,406.90, 8,112.17 and 5,370.45

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Solution

The fourth proportional to 5,406.90, 8,112.17 and 5,370.45 is: 8,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.90 : 8,112.17 = 5,370.45 : x
  2. Step 2: Convert to fraction form
    5,406.90/8,112.17 = 5,370.45/x
  3. Step 3: Cross multiply
    5,406.90x = 8,112.17 × 5,370.45
  4. Step 4: Simplify right side
    5,406.90x = 43,565,935.96
  5. Step 5: Solve for x
    x = 43,565,935.96/5,406.90
  6. Step 6: Final answer
    x = 8,057.48

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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.