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Finding the Fourth Proportional to 3,611.84, 5,407.98 and 1,876.82

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Solution

The fourth proportional to 3,611.84, 5,407.98 and 1,876.82 is: 2,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.84 : 5,407.98 = 1,876.82 : x
  2. Step 2: Convert to fraction form
    3,611.84/5,407.98 = 1,876.82/x
  3. Step 3: Cross multiply
    3,611.84x = 5,407.98 × 1,876.82
  4. Step 4: Simplify right side
    3,611.84x = 10,149,811.92
  5. Step 5: Solve for x
    x = 10,149,811.92/3,611.84
  6. Step 6: Final answer
    x = 2,810.15

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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.