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Finding the Fourth Proportional to 3,511.56, 4,846.05 and 2,113.50

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Solution

The fourth proportional to 3,511.56, 4,846.05 and 2,113.50 is: 2,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.56 : 4,846.05 = 2,113.50 : x
  2. Step 2: Convert to fraction form
    3,511.56/4,846.05 = 2,113.50/x
  3. Step 3: Cross multiply
    3,511.56x = 4,846.05 × 2,113.50
  4. Step 4: Simplify right side
    3,511.56x = 10,242,126.68
  5. Step 5: Solve for x
    x = 10,242,126.68/3,511.56
  6. Step 6: Final answer
    x = 2,916.69

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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.