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Finding the Fourth Proportional to 4,644.96, 6,940.65 and 3,511.77

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Solution

The fourth proportional to 4,644.96, 6,940.65 and 3,511.77 is: 5,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.96 : 6,940.65 = 3,511.77 : x
  2. Step 2: Convert to fraction form
    4,644.96/6,940.65 = 3,511.77/x
  3. Step 3: Cross multiply
    4,644.96x = 6,940.65 × 3,511.77
  4. Step 4: Simplify right side
    4,644.96x = 24,373,966.45
  5. Step 5: Solve for x
    x = 24,373,966.45/4,644.96
  6. Step 6: Final answer
    x = 5,247.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.