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Finding the Fourth Proportional to 3,612.96, 4,989.06 and 2,825.64

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Solution

The fourth proportional to 3,612.96, 4,989.06 and 2,825.64 is: 3,901.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.96 : 4,989.06 = 2,825.64 : x
  2. Step 2: Convert to fraction form
    3,612.96/4,989.06 = 2,825.64/x
  3. Step 3: Cross multiply
    3,612.96x = 4,989.06 × 2,825.64
  4. Step 4: Simplify right side
    3,612.96x = 14,097,287.50
  5. Step 5: Solve for x
    x = 14,097,287.50/3,612.96
  6. Step 6: Final answer
    x = 3,901.87

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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.