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Finding the Fourth Proportional to 3,612.84, 4,989.83 and 2,431.86

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Solution

The fourth proportional to 3,612.84, 4,989.83 and 2,431.86 is: 3,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.84 : 4,989.83 = 2,431.86 : x
  2. Step 2: Convert to fraction form
    3,612.84/4,989.83 = 2,431.86/x
  3. Step 3: Cross multiply
    3,612.84x = 4,989.83 × 2,431.86
  4. Step 4: Simplify right side
    3,612.84x = 12,134,574.06
  5. Step 5: Solve for x
    x = 12,134,574.06/3,612.84
  6. Step 6: Final answer
    x = 3,358.74

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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.