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Finding the Fourth Proportional to 6,241.76, 8,612.64 and 3,589.28

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Solution

The fourth proportional to 6,241.76, 8,612.64 and 3,589.28 is: 4,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.76 : 8,612.64 = 3,589.28 : x
  2. Step 2: Convert to fraction form
    6,241.76/8,612.64 = 3,589.28/x
  3. Step 3: Cross multiply
    6,241.76x = 8,612.64 × 3,589.28
  4. Step 4: Simplify right side
    6,241.76x = 30,913,176.50
  5. Step 5: Solve for x
    x = 30,913,176.50/6,241.76
  6. Step 6: Final answer
    x = 4,952.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.