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Finding the Fourth Proportional to 4,838.64, 6,674.15 and 2,847.81

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Solution

The fourth proportional to 4,838.64, 6,674.15 and 2,847.81 is: 3,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.64 : 6,674.15 = 2,847.81 : x
  2. Step 2: Convert to fraction form
    4,838.64/6,674.15 = 2,847.81/x
  3. Step 3: Cross multiply
    4,838.64x = 6,674.15 × 2,847.81
  4. Step 4: Simplify right side
    4,838.64x = 19,006,689.70
  5. Step 5: Solve for x
    x = 19,006,689.70/4,838.64
  6. Step 6: Final answer
    x = 3,928.11

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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.