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Finding the Fourth Proportional to 4,611.82, 6,916.38 and 1,837.57

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Solution

The fourth proportional to 4,611.82, 6,916.38 and 1,837.57 is: 2,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.82 : 6,916.38 = 1,837.57 : x
  2. Step 2: Convert to fraction form
    4,611.82/6,916.38 = 1,837.57/x
  3. Step 3: Cross multiply
    4,611.82x = 6,916.38 × 1,837.57
  4. Step 4: Simplify right side
    4,611.82x = 12,709,332.40
  5. Step 5: Solve for x
    x = 12,709,332.40/4,611.82
  6. Step 6: Final answer
    x = 2,755.82

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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.