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Finding the Fourth Proportional to 4,662.12, 6,433.56 and 2,537.54

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Solution

The fourth proportional to 4,662.12, 6,433.56 and 2,537.54 is: 3,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.12 : 6,433.56 = 2,537.54 : x
  2. Step 2: Convert to fraction form
    4,662.12/6,433.56 = 2,537.54/x
  3. Step 3: Cross multiply
    4,662.12x = 6,433.56 × 2,537.54
  4. Step 4: Simplify right side
    4,662.12x = 16,325,415.84
  5. Step 5: Solve for x
    x = 16,325,415.84/4,662.12
  6. Step 6: Final answer
    x = 3,501.72

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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.