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Finding the Fourth Proportional to 5,422.40, 8,128.16 and 3,774.40

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Solution

The fourth proportional to 5,422.40, 8,128.16 and 3,774.40 is: 5,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.40 : 8,128.16 = 3,774.40 : x
  2. Step 2: Convert to fraction form
    5,422.40/8,128.16 = 3,774.40/x
  3. Step 3: Cross multiply
    5,422.40x = 8,128.16 × 3,774.40
  4. Step 4: Simplify right side
    5,422.40x = 30,678,927.10
  5. Step 5: Solve for x
    x = 30,678,927.10/5,422.40
  6. Step 6: Final answer
    x = 5,657.81

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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.