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Finding the Fourth Proportional to 3,871.84, 5,807.76 and 3,674.63

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Solution

The fourth proportional to 3,871.84, 5,807.76 and 3,674.63 is: 5,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.84 : 5,807.76 = 3,674.63 : x
  2. Step 2: Convert to fraction form
    3,871.84/5,807.76 = 3,674.63/x
  3. Step 3: Cross multiply
    3,871.84x = 5,807.76 × 3,674.63
  4. Step 4: Simplify right side
    3,871.84x = 21,341,355.70
  5. Step 5: Solve for x
    x = 21,341,355.70/3,871.84
  6. Step 6: Final answer
    x = 5,511.94

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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.