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Finding the Fourth Proportional to 3,869.94, 5,806.35 and 1,816.50

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Solution

The fourth proportional to 3,869.94, 5,806.35 and 1,816.50 is: 2,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.94 : 5,806.35 = 1,816.50 : x
  2. Step 2: Convert to fraction form
    3,869.94/5,806.35 = 1,816.50/x
  3. Step 3: Cross multiply
    3,869.94x = 5,806.35 × 1,816.50
  4. Step 4: Simplify right side
    3,869.94x = 10,547,234.78
  5. Step 5: Solve for x
    x = 10,547,234.78/3,869.94
  6. Step 6: Final answer
    x = 2,725.43

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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.