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Finding the Fourth Proportional to 5,726.40, 8,589.60 and 3,422.40

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Solution

The fourth proportional to 5,726.40, 8,589.60 and 3,422.40 is: 5,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.40 : 8,589.60 = 3,422.40 : x
  2. Step 2: Convert to fraction form
    5,726.40/8,589.60 = 3,422.40/x
  3. Step 3: Cross multiply
    5,726.40x = 8,589.60 × 3,422.40
  4. Step 4: Simplify right side
    5,726.40x = 29,397,047.04
  5. Step 5: Solve for x
    x = 29,397,047.04/5,726.40
  6. Step 6: Final answer
    x = 5,133.60

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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.