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Finding the Fourth Proportional to 3,511.72, 5,237.06 and 3,464.64

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Solution

The fourth proportional to 3,511.72, 5,237.06 and 3,464.64 is: 5,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.72 : 5,237.06 = 3,464.64 : x
  2. Step 2: Convert to fraction form
    3,511.72/5,237.06 = 3,464.64/x
  3. Step 3: Cross multiply
    3,511.72x = 5,237.06 × 3,464.64
  4. Step 4: Simplify right side
    3,511.72x = 18,144,510.24
  5. Step 5: Solve for x
    x = 18,144,510.24/3,511.72
  6. Step 6: Final answer
    x = 5,166.84

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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.